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Finding the Fourth Proportional to 91.56, 136.68 and 78.12

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Solution

The fourth proportional to 91.56, 136.68 and 78.12 is: 116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.56 : 136.68 = 78.12 : x
  2. Step 2: Convert to fraction form
    91.56/136.68 = 78.12/x
  3. Step 3: Cross multiply
    91.56x = 136.68 × 78.12
  4. Step 4: Simplify right side
    91.56x = 10,677.44
  5. Step 5: Solve for x
    x = 10,677.44/91.56
  6. Step 6: Final answer
    x = 116.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.