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Finding the Fourth Proportional to 81.31, 112.15 and 75.91

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Solution

The fourth proportional to 81.31, 112.15 and 75.91 is: 104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.31 : 112.15 = 75.91 : x
  2. Step 2: Convert to fraction form
    81.31/112.15 = 75.91/x
  3. Step 3: Cross multiply
    81.31x = 112.15 × 75.91
  4. Step 4: Simplify right side
    81.31x = 8,513.31
  5. Step 5: Solve for x
    x = 8,513.31/81.31
  6. Step 6: Final answer
    x = 104.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.