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Finding the Fourth Proportional to 81.17, 111.41 and 77.83

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Solution

The fourth proportional to 81.17, 111.41 and 77.83 is: 106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.17 : 111.41 = 77.83 : x
  2. Step 2: Convert to fraction form
    81.17/111.41 = 77.83/x
  3. Step 3: Cross multiply
    81.17x = 111.41 × 77.83
  4. Step 4: Simplify right side
    81.17x = 8,671.04
  5. Step 5: Solve for x
    x = 8,671.04/81.17
  6. Step 6: Final answer
    x = 106.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.