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Finding the Fourth Proportional to 82.60, 113.92 and 59.24

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Solution

The fourth proportional to 82.60, 113.92 and 59.24 is: 81.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.60 : 113.92 = 59.24 : x
  2. Step 2: Convert to fraction form
    82.60/113.92 = 59.24/x
  3. Step 3: Cross multiply
    82.60x = 113.92 × 59.24
  4. Step 4: Simplify right side
    82.60x = 6,748.62
  5. Step 5: Solve for x
    x = 6,748.62/82.60
  6. Step 6: Final answer
    x = 81.70

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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.