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Finding the Fourth Proportional to 81.92, 113.28 and 58.88

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Solution

The fourth proportional to 81.92, 113.28 and 58.88 is: 81.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.92 : 113.28 = 58.88 : x
  2. Step 2: Convert to fraction form
    81.92/113.28 = 58.88/x
  3. Step 3: Cross multiply
    81.92x = 113.28 × 58.88
  4. Step 4: Simplify right side
    81.92x = 6,669.93
  5. Step 5: Solve for x
    x = 6,669.93/81.92
  6. Step 6: Final answer
    x = 81.42

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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.