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Finding the Fourth Proportional to 82.92, 124.46 and 52.54

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Solution

The fourth proportional to 82.92, 124.46 and 52.54 is: 78.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.92 : 124.46 = 52.54 : x
  2. Step 2: Convert to fraction form
    82.92/124.46 = 52.54/x
  3. Step 3: Cross multiply
    82.92x = 124.46 × 52.54
  4. Step 4: Simplify right side
    82.92x = 6,538.87
  5. Step 5: Solve for x
    x = 6,538.87/82.92
  6. Step 6: Final answer
    x = 78.86

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Why These Related Problems?

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