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Finding the Fourth Proportional to 81.61, 122.46 and 77.44

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Solution

The fourth proportional to 81.61, 122.46 and 77.44 is: 116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.61 : 122.46 = 77.44 : x
  2. Step 2: Convert to fraction form
    81.61/122.46 = 77.44/x
  3. Step 3: Cross multiply
    81.61x = 122.46 × 77.44
  4. Step 4: Simplify right side
    81.61x = 9,483.30
  5. Step 5: Solve for x
    x = 9,483.30/81.61
  6. Step 6: Final answer
    x = 116.20

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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.