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Finding the Fourth Proportional to 91.27, 136.17 and 78.28

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Solution

The fourth proportional to 91.27, 136.17 and 78.28 is: 116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.27 : 136.17 = 78.28 : x
  2. Step 2: Convert to fraction form
    91.27/136.17 = 78.28/x
  3. Step 3: Cross multiply
    91.27x = 136.17 × 78.28
  4. Step 4: Simplify right side
    91.27x = 10,659.39
  5. Step 5: Solve for x
    x = 10,659.39/91.27
  6. Step 6: Final answer
    x = 116.79

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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.