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Finding the Fourth Proportional to 83.20, 125.30 and 73.66

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Solution

The fourth proportional to 83.20, 125.30 and 73.66 is: 110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.20 : 125.30 = 73.66 : x
  2. Step 2: Convert to fraction form
    83.20/125.30 = 73.66/x
  3. Step 3: Cross multiply
    83.20x = 125.30 × 73.66
  4. Step 4: Simplify right side
    83.20x = 9,229.60
  5. Step 5: Solve for x
    x = 9,229.60/83.20
  6. Step 6: Final answer
    x = 110.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.