1.2:x::14:42 =

Rationale

1.2:x::14:42 implies that x equals 3.6.

This proportion can be solved by cross-multiplying, which allows us to find the value of x that maintains the equality. Specifically, by setting up the equation 1.2 * 42 = 14 * x, we can isolate x and determine its value.

A (0.6) YOUR ANSWER

Choosing 0.6 would imply that 1.2 is to 0.6 as 14 is to 42. However, if we test this ratio, we find that 1.2 divided by 0.6 equals 2, while 14 divided by 42 equals 0.333, which are not equivalent. Therefore, this choice does not satisfy the proportion.

B (3.6) CORRECT

This option correctly satisfies the proportion. By substituting x with 3.6, we find that 1.2 * 42 equals 50.4, and 14 * 3.6 also equals 50.4. Since both sides of the equation are equal, this choice is validated.

C (1.2) YOUR ANSWER

If we set x to 1.2, the ratio would imply that 1.2 is to 1.2 as 14 is to 42. This simplifies to 1, while 14 divided by 42 equals 0.333. As these values are not equal, this choice fails to maintain the proportion.

D (2.4) YOUR ANSWER

Choosing 2.4 suggests that 1.2 is to 2.4 as 14 is to 42. However, when evaluated, 1.2 divided by 2.4 equals 0.5, while 14 divided by 42 equals 0.333. Since these ratios are unequal, this option does not hold true.

Conclusion

The solution to the proportion 1.2:x::14:42 shows that x must be 3.6 to maintain the equality, as validated by cross-multiplication. The incorrect choices either fail to satisfy the established ratio or produce unequal results, confirming that 3.6 is the only viable solution.

1.2:x::14:42 =

1.2:x::14:42 implies that x equals 3.6.

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