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Finding the Fourth Proportional to 81.76, 122.64 and 36.14

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Solution

The fourth proportional to 81.76, 122.64 and 36.14 is: 54.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.76 : 122.64 = 36.14 : x
  2. Step 2: Convert to fraction form
    81.76/122.64 = 36.14/x
  3. Step 3: Cross multiply
    81.76x = 122.64 × 36.14
  4. Step 4: Simplify right side
    81.76x = 4,432.21
  5. Step 5: Solve for x
    x = 4,432.21/81.76
  6. Step 6: Final answer
    x = 54.21

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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.