Ratio and Proportion: 100:2 :: 60:X. Find X.

Rationale

X equals 3 when the ratio 100:2 is compared to 60:X.

To solve for X in the proportion 100:2 :: 60:X, we can use cross-multiplication. Setting up the equation, we have 100 * X = 60 * 2, which simplifies to X = (60 * 2) / 100, resulting in X = 1.2.

A (1.2) CORRECT

This choice correctly represents the value of X when solving the proportion. By cross-multiplying and simplifying, we find that X equals 1.2, making this answer accurate and valid.

B (2) YOUR ANSWER

This choice does not satisfy the equation derived from the proportion. If X were 2, the equation would yield 100 * 2 ≠ 60 * 2, as 200 does not equal 120. Therefore, this value does not maintain the ratio established in the original proportion.

C (3) YOUR ANSWER

Choosing 3 for X results in the equation 100 * 3 ≠ 60 * 2. When calculated, 300 does not equal 120, hence this choice is incorrect and does not preserve the equality of the ratios.

D (30) YOUR ANSWER

If X were 30, the relationship would be 100 * 30 ≠ 60 * 2, leading to 3000 not equaling 120. This significant discrepancy indicates that this option fails to uphold the proportional relationship required by the question.

Conclusion

In ratio and proportion problems, maintaining equality through proper calculations is essential. The correct value of X in the proportion 100:2 :: 60:X is 1.2, confirming that all other options fail to satisfy the established relationships. Understanding how to manipulate proportions correctly is vital for solving similar mathematical problems efficiently.

Ratio and Proportion: 100:2 :: 60:X. Find X.

X equals 3 when the ratio 100:2 is compared to 60:X.

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