Question 34

X = 1.6

To solve the proportion 100:2 :: 60:X, we can use cross multiplication. By setting up the equation 100 * X = 60 * 2, we can solve for X, which yields X = 1.6.

A) X = 12

This option is incorrect because substituting X = 12 into the equation results in 100 * 12 = 1200, which does not equal 60 * 2 (120). Therefore, this choice does not satisfy the proportion.

B) X = 2.2

Selecting X = 2.2 also fails to satisfy the proportion. When we check the multiplication, 100 * 2.2 equals 220, while 60 * 2 still results in 120. Therefore, this option does not hold true in the context of the given proportion.

C) X = 1.2

This choice is incorrect as well; if we substitute X = 1.2 into the equation, we find that 100 * 1.2 equals 120, which does not match 60 * 2 (120). Thus, this option is not valid in solving the proportion.

D) X = 1.6

This option is correct. By substituting X = 1.6 into the equation, we find that 100 * 1.6 equals 160, which is equal to 60 * 2 (120). This correctly satisfies the proportion.

Conclusion

The correct answer, X = 1.6, is validated through proper cross multiplication, confirming its accuracy in the proportion. All other options fail to meet the necessary equality, demonstrating that they do not correctly represent the relationship defined by the original ratio.