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Answer :
(a) 15, 45, 40, 120
\(\frac{15}{45} = \frac{1}{3} \)
\(\frac{40}120} = \frac{1}{3} \)
Hence, 15: 45 = 40:120
\(\therefore \)These are in a proportion
(b) 33, 121, 9, 96
\(\frac{33}{121} = \frac{3}{11} \)
\(\frac{9}{96} = \frac{3}{32} \)
Hence 33:121 \(\neq \)9: 96
\(\therefore \)These are not in a proportion
(c) 24, 28, 36, 48
\(\frac{24}{28} = \frac{6}{7} \)
\(\frac{36}{48} = \frac{3}{4} \)
Hence, 24: 28 \(\neq \)36:48
\(\therefore \) These are not in a proportion
(d) 32, 48, 70, 210
\(\frac{32}{48} = \frac{2}{3} \)
\(\frac{70}{210} = \frac{1}{3} \)
Hence, 32: 48 \(\neq \)70: 210
\(\therefore \)These are not in a proportion
(e) 4, 6, 8, 12
\(\frac{4}{6} = \frac{2}{3} \)
\(\frac{8}{12} = \frac{2}{3} \)
Hence 4: 6 = 8: 12
\(\therefore \) These are in a proportion
(f) 33, 44, 75, 100
\(\frac{33}{44} = \frac{3}{4} \)
\(\frac{75}{100} = \frac{3}{4} \)
Hence, 33:44 = 75: 100
\(\therefore \)These are in a proportion