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Finding the Fourth Proportional to 81.75, 121.92 and 76.58

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Solution

The fourth proportional to 81.75, 121.92 and 76.58 is: 114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.75 : 121.92 = 76.58 : x
  2. Step 2: Convert to fraction form
    81.75/121.92 = 76.58/x
  3. Step 3: Cross multiply
    81.75x = 121.92 × 76.58
  4. Step 4: Simplify right side
    81.75x = 9,337.53
  5. Step 5: Solve for x
    x = 9,337.53/81.75
  6. Step 6: Final answer
    x = 114.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.