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

Rationale

X = 1.2

To solve the proportion given by the ratio 100:2 :: 60:X, we can use cross-multiplication. If we set it up as 100/2 = 60/X, solving for X gives us the correct answer, which is 1.2.

A (X = 1.6) YOUR ANSWER

If X were 1.6, the equation would read 100/2 = 60/1.6. Cross-multiplying gives 100 * 1.6 = 160, while 2 * 60 = 120. Since 160 does not equal 120, this choice is incorrect.

B (X = 2.2) YOUR ANSWER

If X were 2.2, substituting into the equation results in 100/2 = 60/2.2. Cross-multiplying leads to 100 * 2.2 = 220, while 2 * 60 = 120. Again, 220 does not equal 120, making this choice incorrect.

C (X = 12) YOUR ANSWER

If we consider X as 12, the equation reads 100/2 = 60/12. Cross-multiplying gives 100 * 12 = 1200, and 2 * 60 = 120. Since 1200 does not equal 120, this option is also incorrect.

D (X = 1.2) CORRECT

When X is 1.2, substituting into the equation gives us 100/2 = 60/1.2. Cross-multiplying results in 100 * 1.2 = 120, while 2 * 60 also equals 120. This confirms that the two sides of the equation are equal, validating this answer.

Conclusion

The solution to the proportion 100:2 :: 60:X shows that the value of X must be 1.2 for the ratios to be equivalent. By testing each option through cross-multiplication, we confirmed that only X = 1.2 satisfies the proportion, ensuring its correctness. Thus, understanding how to manipulate ratios and proportions is fundamental in solving similar mathematical problems.

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

X = 1.2

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test