Question 18

X = 1.2

To solve the proportion 100:2 :: 60:X, we need to find the value of X that maintains the same ratio. By cross-multiplying, we find that X equals 1.2.

A) X = 1.6

This option is incorrect because substituting X with 1.6 does not satisfy the proportion. When calculated, 100/2 equals 50, while 60/1.6 equals 37.5, which do not match.

B) X = 2.2

This choice is also incorrect. If we use 2.2 for X, the ratio becomes 60/2.2, which simplifies to approximately 27.27. This does not equal 50 when compared to 100/2, hence it does not maintain the proportion.

C) X = 12

Choosing 12 for X fails to keep the proportions consistent. The calculation of 60/12 results in 5, which does not equal the original ratio of 50 from 100/2, making this option incorrect.

D) X = 1.2

This is the correct answer, as substituting X with 1.2 gives us 60/1.2, which simplifies to 50, maintaining the same ratio as 100/2. Thus, this option correctly satisfies the proportion.

Conclusion

The correct answer, X = 1.2, aligns with the ratios established in the problem, ensuring the relationships between the numbers are preserved. All other options fail to maintain the ratio, proving that they do not satisfy the conditions of the proportion.