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Finding the Fourth Proportional to 83.22, 124.54 and 82

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Solution

The fourth proportional to 83.22, 124.54 and 82 is: 122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.22 : 124.54 = 82 : x
  2. Step 2: Convert to fraction form
    83.22/124.54 = 82/x
  3. Step 3: Cross multiply
    83.22x = 124.54 × 82
  4. Step 4: Simplify right side
    83.22x = 10,212.28
  5. Step 5: Solve for x
    x = 10,212.28/83.22
  6. Step 6: Final answer
    x = 122.71

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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.