Question 29

X = 2.4

To solve the ratio 240 : X :: 80 : 0.8, we can cross-multiply to find the value of X. This leads to the equation 240 * 0.8 = 80 * X, which simplifies to X = 2.4.

A) 2.4

This option is correct as it directly results from solving the proportion. By rearranging the equation 240 * 0.8 = 80 * X, we find that X equals 2.4, making this the accurate solution.

B) 3.2

This option is incorrect because if X were 3.2, the equation 240 * 0.8 would not equal 80 * 3.2. Instead, it would yield a different value, showing that 3.2 does not satisfy the proportion set by the question.

C) 4

Choosing 4 is also incorrect because substituting X with 4 in the equation gives a product that does not match the value derived from 240 * 0.8. Thus, 4 cannot be the correct solution for the proportion provided.

D) 1.6

This option is incorrect as well. If we replace X with 1.6 in the proportion, the resulting calculation does not hold true to the original equation, confirming that 1.6 does not satisfy the condition set by the ratio.

Conclusion

The correct answer, 2.4, is derived directly from the mathematical operations applied to the ratio and proportion given. All other options fail to satisfy the equation derived from the proportion, proving that they are not valid solutions. Thus, 2.4 stands out as the only correct answer in this context.