Question 43

X equals 1.2

To find the value of X in the proportion 100:2 :: 60:X, we can set up a cross-multiplication. By solving the equation, we find that X equals 1.2.

A) 1.2

This option is correct. When we cross-multiply the proportions, we set up the equation 100 * X = 60 * 2. Simplifying this gives 100X = 120, leading to X = 120/100, which simplifies to X = 1.2.

B) 2

This option is incorrect. If we substitute X = 2 into the proportion, we would have 100:2 :: 60:2. However, this does not maintain the same ratio as the original, as 100/2 equals 50, while 60/2 equals 30.

C) 3

This option is incorrect. Substituting X = 3 into the proportion gives us 100:2 :: 60:3. The ratios do not match because 100/2 equals 50, while 60/3 equals 20, which are not equivalent ratios.

D) 30

This option is incorrect. If X were 30, the proportion would read 100:2 :: 60:30. Evaluating these ratios shows 100/2 equals 50, while 60/30 equals 2, which are not equal, thus failing to maintain the proportion.

Conclusion

The correct answer is 1.2, as it accurately satisfies the proportional relationship established in the question. The other options do not hold true when tested against the original ratio, thus confirming that they are not valid solutions.