“If X is 80% of Y and Z is 120% of X what is the ratio X : Y : Z?”

"In mathematics percentages express proportional relationships. If X equals 80% of Y then X = 0.8Y. If Z equals 120% of X then Z = 1.2X = 1.2(0.8Y) = 0.96Y. The ratio X : Y : Z becomes 0.8Y : Y : 0.96Y. Dividing by Y the ratio simplifies to 0.8 : 1 : 0.96. Converting to integers by multiplying by 25 it yields 20 : 25 : 24. This ratio reflects proportional reasoning a key concept in algebra and real-world applications like finance."