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Finding the Fourth Proportional to 125.96, 173.85 and 76.88

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Solution

The fourth proportional to 125.96, 173.85 and 76.88 is: 106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.96 : 173.85 = 76.88 : x
  2. Step 2: Convert to fraction form
    125.96/173.85 = 76.88/x
  3. Step 3: Cross multiply
    125.96x = 173.85 × 76.88
  4. Step 4: Simplify right side
    125.96x = 13,365.73
  5. Step 5: Solve for x
    x = 13,365.73/125.96
  6. Step 6: Final answer
    x = 106.12

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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.