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Finding the Fourth Proportional to 89.38, 134.26 and 77.20

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Solution

The fourth proportional to 89.38, 134.26 and 77.20 is: 115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.38 : 134.26 = 77.20 : x
  2. Step 2: Convert to fraction form
    89.38/134.26 = 77.20/x
  3. Step 3: Cross multiply
    89.38x = 134.26 × 77.20
  4. Step 4: Simplify right side
    89.38x = 10,364.87
  5. Step 5: Solve for x
    x = 10,364.87/89.38
  6. Step 6: Final answer
    x = 115.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.