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Finding the Fourth Proportional to 77.20, 115.82 and 41.14

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Solution

The fourth proportional to 77.20, 115.82 and 41.14 is: 61.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.20 : 115.82 = 41.14 : x
  2. Step 2: Convert to fraction form
    77.20/115.82 = 41.14/x
  3. Step 3: Cross multiply
    77.20x = 115.82 × 41.14
  4. Step 4: Simplify right side
    77.20x = 4,764.83
  5. Step 5: Solve for x
    x = 4,764.83/77.20
  6. Step 6: Final answer
    x = 61.72

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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.