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Finding the Fourth Proportional to 77.98, 116.92 and 41.84

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Solution

The fourth proportional to 77.98, 116.92 and 41.84 is: 62.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.98 : 116.92 = 41.84 : x
  2. Step 2: Convert to fraction form
    77.98/116.92 = 41.84/x
  3. Step 3: Cross multiply
    77.98x = 116.92 × 41.84
  4. Step 4: Simplify right side
    77.98x = 4,891.93
  5. Step 5: Solve for x
    x = 4,891.93/77.98
  6. Step 6: Final answer
    x = 62.73

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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.