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Finding the Fourth Proportional to 77.76, 116.64 and 41.85

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Solution

The fourth proportional to 77.76, 116.64 and 41.85 is: 62.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.76 : 116.64 = 41.85 : x
  2. Step 2: Convert to fraction form
    77.76/116.64 = 41.85/x
  3. Step 3: Cross multiply
    77.76x = 116.64 × 41.85
  4. Step 4: Simplify right side
    77.76x = 4,881.38
  5. Step 5: Solve for x
    x = 4,881.38/77.76
  6. Step 6: Final answer
    x = 62.78

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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.