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Finding the Fourth Proportional to 83.23, 124.15 and 76.24

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Solution

The fourth proportional to 83.23, 124.15 and 76.24 is: 113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.23 : 124.15 = 76.24 : x
  2. Step 2: Convert to fraction form
    83.23/124.15 = 76.24/x
  3. Step 3: Cross multiply
    83.23x = 124.15 × 76.24
  4. Step 4: Simplify right side
    83.23x = 9,465.20
  5. Step 5: Solve for x
    x = 9,465.20/83.23
  6. Step 6: Final answer
    x = 113.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.