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Finding the Fourth Proportional to 57.83, 86.85 and 47.71

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Solution

The fourth proportional to 57.83, 86.85 and 47.71 is: 71.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.83 : 86.85 = 47.71 : x
  2. Step 2: Convert to fraction form
    57.83/86.85 = 47.71/x
  3. Step 3: Cross multiply
    57.83x = 86.85 × 47.71
  4. Step 4: Simplify right side
    57.83x = 4,143.61
  5. Step 5: Solve for x
    x = 4,143.61/57.83
  6. Step 6: Final answer
    x = 71.65

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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.