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Finding the Fourth Proportional to 57.97, 87.11 and 54.65

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Solution

The fourth proportional to 57.97, 87.11 and 54.65 is: 82.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.97 : 87.11 = 54.65 : x
  2. Step 2: Convert to fraction form
    57.97/87.11 = 54.65/x
  3. Step 3: Cross multiply
    57.97x = 87.11 × 54.65
  4. Step 4: Simplify right side
    57.97x = 4,760.29
  5. Step 5: Solve for x
    x = 4,760.29/57.97
  6. Step 6: Final answer
    x = 82.12

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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.