Patrick is $$\frac{3}{4}$$ of Father and $$\frac{6}{7}$$ of Mother. Make Patrick the same number of units in both ratios.
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• Patrick : Father = 3 : 4 = 12 : 16
• Patrick : Mother = 6 : 7 = 12 : 14
• Combined → Father : Mother : Patrick = 16 : 14 : 12
• Father − Mother → 16u − 14u = 2u → 22 cm
• 1u → 22 ÷ 2 = 11 cm ⇒ Patrick = 12 × 11 = 132 cm
Patrick is 132 cm tall.
Check: Father = 16 × 11 = 176 cm. Mother = 14 × 11 = 154 cm. 176 − 154 = 22. ✓