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Finding the Fourth Proportional to 81.64, 122.39 and 63.68

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Solution

The fourth proportional to 81.64, 122.39 and 63.68 is: 95.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.64 : 122.39 = 63.68 : x
  2. Step 2: Convert to fraction form
    81.64/122.39 = 63.68/x
  3. Step 3: Cross multiply
    81.64x = 122.39 × 63.68
  4. Step 4: Simplify right side
    81.64x = 7,793.48
  5. Step 5: Solve for x
    x = 7,793.48/81.64
  6. Step 6: Final answer
    x = 95.47

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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.