Question 27

X = 50

To solve the proportion 0.5:20 :: X:200, we can cross-multiply and simplify. This shows that X must equal 50 to maintain the same ratio.

A) X = 50

This option is correct. By setting up the proportion 0.5/20 = X/200 and cross-multiplying, we find that X = (0.5 * 200) / 20, which simplifies to 50.

B) X = 4

This option is incorrect. If X were 4, substituting it back into the proportion would not satisfy the equality, as 0.5/20 does not equal 4/200.

C) X = 5

This option is also incorrect. Substituting 5 into the proportion would yield an incorrect ratio, as 0.5/20 does not equal 5/200.

D) X = 25

This option is incorrect as well. If X were 25, the cross-multiplication would again yield a ratio that does not hold true, as 0.5/20 does not equate to 25/200.

Conclusion

The correct answer is X = 50, as it accurately maintains the proportional relationship presented in the question. All other options fail to satisfy the equality established by the original ratio, confirming that they are incorrect. This demonstrates a clear understanding of ratios and proportions.