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Finding the Fourth Proportional to 57.97, 86.92 and 46.61

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Solution

The fourth proportional to 57.97, 86.92 and 46.61 is: 69.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.97 : 86.92 = 46.61 : x
  2. Step 2: Convert to fraction form
    57.97/86.92 = 46.61/x
  3. Step 3: Cross multiply
    57.97x = 86.92 × 46.61
  4. Step 4: Simplify right side
    57.97x = 4,051.34
  5. Step 5: Solve for x
    x = 4,051.34/57.97
  6. Step 6: Final answer
    x = 69.89

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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.