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Finding the Fourth Proportional to 57.54, 86.17 and 46.10

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Solution

The fourth proportional to 57.54, 86.17 and 46.10 is: 69.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.54 : 86.17 = 46.10 : x
  2. Step 2: Convert to fraction form
    57.54/86.17 = 46.10/x
  3. Step 3: Cross multiply
    57.54x = 86.17 × 46.10
  4. Step 4: Simplify right side
    57.54x = 3,972.44
  5. Step 5: Solve for x
    x = 3,972.44/57.54
  6. Step 6: Final answer
    x = 69.04

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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.