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Finding the Fourth Proportional to 81.32, 121.26 and 75.85

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Solution

The fourth proportional to 81.32, 121.26 and 75.85 is: 113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.32 : 121.26 = 75.85 : x
  2. Step 2: Convert to fraction form
    81.32/121.26 = 75.85/x
  3. Step 3: Cross multiply
    81.32x = 121.26 × 75.85
  4. Step 4: Simplify right side
    81.32x = 9,197.27
  5. Step 5: Solve for x
    x = 9,197.27/81.32
  6. Step 6: Final answer
    x = 113.11

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Why These Related Problems?

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