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Finding the Fourth Proportional to 57.92, 86.80 and 40.66

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Solution

The fourth proportional to 57.92, 86.80 and 40.66 is: 60.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.92 : 86.80 = 40.66 : x
  2. Step 2: Convert to fraction form
    57.92/86.80 = 40.66/x
  3. Step 3: Cross multiply
    57.92x = 86.80 × 40.66
  4. Step 4: Simplify right side
    57.92x = 3,529.54
  5. Step 5: Solve for x
    x = 3,529.54/57.92
  6. Step 6: Final answer
    x = 60.94

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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.