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Finding the Fourth Proportional to 81.27, 121.97 and 77.51

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Solution

The fourth proportional to 81.27, 121.97 and 77.51 is: 116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.27 : 121.97 = 77.51 : x
  2. Step 2: Convert to fraction form
    81.27/121.97 = 77.51/x
  3. Step 3: Cross multiply
    81.27x = 121.97 × 77.51
  4. Step 4: Simplify right side
    81.27x = 9,452.90
  5. Step 5: Solve for x
    x = 9,452.90/81.27
  6. Step 6: Final answer
    x = 116.31

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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.