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Finding the Fourth Proportional to 125.92, 173.64 and 76.78

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Solution

The fourth proportional to 125.92, 173.64 and 76.78 is: 105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.92 : 173.64 = 76.78 : x
  2. Step 2: Convert to fraction form
    125.92/173.64 = 76.78/x
  3. Step 3: Cross multiply
    125.92x = 173.64 × 76.78
  4. Step 4: Simplify right side
    125.92x = 13,332.08
  5. Step 5: Solve for x
    x = 13,332.08/125.92
  6. Step 6: Final answer
    x = 105.88

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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.