Question 26

X equals 2.4

To solve the proportion 240 : X = 80 : 0.8, we can cross-multiply to find the value of X. This calculation reveals that X equals 2.4.

A) 2.4

This option is correct because substituting 2.4 for X in the proportion gives us 240 : 2.4 = 80 : 0.8, which simplifies accurately, confirming the equality of the ratios.

B) 3.2

This option is incorrect as substituting 3.2 for X results in 240 : 3.2, which does not equal the ratio 80 : 0.8 when simplified. The cross-multiplication would show that this does not hold true.

C) 4

This option is also incorrect because if we substitute 4 for X, the resulting ratio of 240 : 4 does not equate to 80 : 0.8. The calculations would demonstrate that the two sides of the proportion are not equivalent.

D) 1.6

This option is incorrect as substituting 1.6 for X gives us a ratio of 240 : 1.6, which does not match the ratio 80 : 0.8. The cross-multiplication confirms that the ratios do not align.

Conclusion

The correct answer, 2.4, maintains the proportional relationship required by the equation, while all other options fail to satisfy this condition upon substitution and simplification. This illustrates the fundamental concept of maintaining equality across ratios in proportions.