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Finding the Fourth Proportional to 125.71, 173.46 and 76.61

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Solution

The fourth proportional to 125.71, 173.46 and 76.61 is: 105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.71 : 173.46 = 76.61 : x
  2. Step 2: Convert to fraction form
    125.71/173.46 = 76.61/x
  3. Step 3: Cross multiply
    125.71x = 173.46 × 76.61
  4. Step 4: Simplify right side
    125.71x = 13,288.77
  5. Step 5: Solve for x
    x = 13,288.77/125.71
  6. Step 6: Final answer
    x = 105.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.