In the ratio 0.6 : X :: 7 : 42, what is X?

Rationale

X equals 3.6 in the ratio 0.6 : X :: 7 : 42.

To solve for X, we can set up a proportion based on the given ratios. By cross-multiplying, we find that 0.6 multiplied by 42 equals 7 multiplied by X, leading to the calculation of X as 3.6.

A (3) YOUR ANSWER

Choosing 3 would imply that 0.6 : 3 is equivalent to 7 : 42, but when we calculate the cross-product, we see that 0.6 * 42 equals 25.2, while 7 * 3 equals 21. Since these are not equal, 3 cannot be the correct answer.

B (3.6) CORRECT

This choice is correct as it satisfies the proportion set by the ratios. By substituting X with 3.6, we find that 0.6 * 42 equals 25.2, which matches the product of 7 * 3.6, confirming that this is the correct solution.

C (4) YOUR ANSWER

If we select 4, we calculate the cross-products and find that 0.6 * 42 equals 25.2, but 7 * 4 equals 28. Since these values do not match, 4 cannot be the correct answer.

D (4.2) YOUR ANSWER

Choosing 4.2 leads to a similar calculation where 0.6 * 42 equals 25.2, while 7 * 4.2 equals 29.4. Again, since these products are not equal, 4.2 is not the correct choice.

Conclusion

To determine the value of X in the ratio 0.6 : X :: 7 : 42, we find that X must equal 3.6 to maintain the equality of the ratios. All other options fail to satisfy the proportion, reinforcing the importance of accurate cross-multiplication in solving such ratio problems.

In the ratio 0.6 : X :: 7 : 42, what is X?

X equals 3.6 in the ratio 0.6 : X :: 7 : 42.

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