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Finding the Fourth Proportional to 81.91, 122.61 and 67.43

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Solution

The fourth proportional to 81.91, 122.61 and 67.43 is: 100.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.91 : 122.61 = 67.43 : x
  2. Step 2: Convert to fraction form
    81.91/122.61 = 67.43/x
  3. Step 3: Cross multiply
    81.91x = 122.61 × 67.43
  4. Step 4: Simplify right side
    81.91x = 8,268.15
  5. Step 5: Solve for x
    x = 8,268.15/81.91
  6. Step 6: Final answer
    x = 100.94

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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.