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Finding the Fourth Proportional to 77.85, 116.77 and 41.27

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Solution

The fourth proportional to 77.85, 116.77 and 41.27 is: 61.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.85 : 116.77 = 41.27 : x
  2. Step 2: Convert to fraction form
    77.85/116.77 = 41.27/x
  3. Step 3: Cross multiply
    77.85x = 116.77 × 41.27
  4. Step 4: Simplify right side
    77.85x = 4,819.10
  5. Step 5: Solve for x
    x = 4,819.10/77.85
  6. Step 6: Final answer
    x = 61.91

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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.