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Finding the Fourth Proportional to 83.06, 124.82 and 63.92

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Solution

The fourth proportional to 83.06, 124.82 and 63.92 is: 96.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.06 : 124.82 = 63.92 : x
  2. Step 2: Convert to fraction form
    83.06/124.82 = 63.92/x
  3. Step 3: Cross multiply
    83.06x = 124.82 × 63.92
  4. Step 4: Simplify right side
    83.06x = 7,977.55
  5. Step 5: Solve for x
    x = 7,977.55/83.06
  6. Step 6: Final answer
    x = 96.05

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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.