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Finding the Fourth Proportional to 57.43, 85.92 and 49.92

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Solution

The fourth proportional to 57.43, 85.92 and 49.92 is: 74.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.43 : 85.92 = 49.92 : x
  2. Step 2: Convert to fraction form
    57.43/85.92 = 49.92/x
  3. Step 3: Cross multiply
    57.43x = 85.92 × 49.92
  4. Step 4: Simplify right side
    57.43x = 4,289.13
  5. Step 5: Solve for x
    x = 4,289.13/57.43
  6. Step 6: Final answer
    x = 74.68

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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.