Question
State of each pair of ratios form a proper proportion
1) 4/2 and 20/6
2) 3/2, and 18/8
1) 4/2 and 20/6
2) 3/2, and 18/8
Answers
GPT 3.5
To determine if each pair of ratios forms a proper proportion, we need to check if the cross products are equal.
1) 4/2 = 2 and 20/6 = 10/3
Cross products: 2 * 10 = 20 and 4 * 3 = 12
Since 20 is equal to 12, the ratios 4/2 and 20/6 form a proper proportion.
2) 3/2 = 1.5 and 18/8 = 9/4
Cross products: 1.5 * 9 = 13.5 and 2 * 4 = 8
Since 13.5 is not equal to 8, the ratios 3/2 and 18/8 do not form a proper proportion.
1) 4/2 = 2 and 20/6 = 10/3
Cross products: 2 * 10 = 20 and 4 * 3 = 12
Since 20 is equal to 12, the ratios 4/2 and 20/6 form a proper proportion.
2) 3/2 = 1.5 and 18/8 = 9/4
Cross products: 1.5 * 9 = 13.5 and 2 * 4 = 8
Since 13.5 is not equal to 8, the ratios 3/2 and 18/8 do not form a proper proportion.