Find x. 120:x::40:0.5 =

Rationale

x = 1.5.

To solve the proportion 120:x::40:0.5, we can use cross-multiplication. This leads to the equation 120 * 0.5 = 40 * x, which simplifies to x = 1.5.

A (16) YOUR ANSWER

Choosing 16 suggests a misunderstanding of the proportional relationship. Substituting 16 into the equation would yield 120:16::40:0.5, which does not hold true since 120 * 0.5 does not equal 40 * 16.

B (0.167) YOUR ANSWER

Selecting 0.167 fails to satisfy the proportion as well. Plugging 0.167 into the equation gives 120:0.167::40:0.5, leading to an incorrect equality when cross-multiplying, as 120 * 0.5 does not equal 40 * 0.167.

C (60) YOUR ANSWER

Opting for 60 results in an invalid proportion too. If we insert 60, we get 120:60::40:0.5, which does not balance out upon cross-multiplication since 120 * 0.5 does not equal 40 * 60.

D (1.5) CORRECT

By selecting 1.5, we correctly satisfy the original proportion. The calculation shows that 120 * 0.5 equals 40 * 1.5, confirming that this value maintains the integrity of the mathematical relationship presented.

Conclusion

In solving the proportion 120:x::40:0.5, the value of x is determined to be 1.5 through cross-multiplication. Other options present incorrect values that disrupt the balance of the proportion, demonstrating the importance of understanding ratios and their applications in problem-solving.

Find x. 120:x::40:0.5 =

x = 1.5.

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