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Finding the Fourth Proportional to 83.13, 124.69 and 22.27

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Solution

The fourth proportional to 83.13, 124.69 and 22.27 is: 33.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.13 : 124.69 = 22.27 : x
  2. Step 2: Convert to fraction form
    83.13/124.69 = 22.27/x
  3. Step 3: Cross multiply
    83.13x = 124.69 × 22.27
  4. Step 4: Simplify right side
    83.13x = 2,776.85
  5. Step 5: Solve for x
    x = 2,776.85/83.13
  6. Step 6: Final answer
    x = 33.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.