Question

Set up all possible proportions from the numbers 8, 12, 20, 30. ??​

Answer 1

Answer:

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Step-by-step explanation:

We note that 8 × 30 = 240 and 12 × 20 = 240

Thus, 8 × 30 = 12 × 20 ………..(I)

Hence, 8 : 12 = 20 : 30 ……….. (i)

We also note that, 8 × 30 = 20 × 12

Hence, 8 : 20 = 12 : 30 ……….. (ii)

(I) can also be written as 12 × 20 = 8 × 30

Hence, 12 : 8 = 30 : 20 ……….. (iii)

Last (I) can also be written as

12 : 30 = 8 : 20 ……….. (iv)

Thus, the required proportions are 8 : 12 = 20 : 30

8 : 20 = 12 : 30 12 : 8 = 30 : 20 12 : 30 = 8 : 20

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Answer 2

Answer:

Step-by-step explanation:

Set up all possible proportions from the numbers 8, 12, 20, 30. ??​

8 × 30 = 240 and 12 × 20 = 240

8 × 30 = 12 × 20 ……….. equation (I)

8 : 12 = 20 : 30 ……….. equation (i)

8 × 30 = 20 × 12

8 : 20 = 12 : 30 ………..  equation (ii)

equation (I) is also written like this  12 × 20 = 8 × 30

12 : 8 = 30 : 20 ……….. equation (iii)

(I) can also be written as

12 : 30 = 8 : 20 ………..  equation (iv)

the required proportions are 8 : 12 = 20 : 30

8 : 20 = 12 : 30 12 : 8 = 30 : 20 12 : 30 = 8 : 20