Determine if the following are in proportion,
(a) 15,45,40,20
(b)33,121,9,93
(c)24,28,36,48
(d)32,48,70,210
(e)4,6,8,12
(f)33,44,75,100
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(a) 15, 45, 40, 120
15/45 = 1/3; 40/120 = 1/3
Therefore, 15 : 45 = 40 : 120
Hence, these are in proportion
(b) 33, 121, 9, 96
24/28 = 6/7,
36/48 = 3/4
Therefore 33 : 121 ≠ 9 : 96
Hence, these are not in proportion
(c) 24, 28, 36, 48
33/121 = 3/11,
9/96 = 3/32
Therefore, 24 : 28 ≠ 36 : 48
Hence, these are not in proportion
(d) 32, 48, 70, 210
32/48 = 2/3,
70/210 = 1/3
Therefore 32 : 48 ≠ 70 : 210
Hence, these are not in proportion
(e) 4, 6, 8, 12
4/6 = 2/3,
8/12 = 2/3
Therefore 4 : 6 = 8 : 12
Hence, these are in proportion
(f) 33, 44, 75, 100
33/44 =3/4,
75/100 = 3/4
Therefore, 33 : 44 = 75 : 100
Hence, these are in proportion
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