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Finding the Fourth Proportional to 83.25, 124.74 and 73.13

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Solution

The fourth proportional to 83.25, 124.74 and 73.13 is: 109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.25 : 124.74 = 73.13 : x
  2. Step 2: Convert to fraction form
    83.25/124.74 = 73.13/x
  3. Step 3: Cross multiply
    83.25x = 124.74 × 73.13
  4. Step 4: Simplify right side
    83.25x = 9,121.61
  5. Step 5: Solve for x
    x = 9,121.61/83.25
  6. Step 6: Final answer
    x = 109.57

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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.