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Finding the Fourth Proportional to 83.23, 124.91 and 74.72

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Solution

The fourth proportional to 83.23, 124.91 and 74.72 is: 112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.23 : 124.91 = 74.72 : x
  2. Step 2: Convert to fraction form
    83.23/124.91 = 74.72/x
  3. Step 3: Cross multiply
    83.23x = 124.91 × 74.72
  4. Step 4: Simplify right side
    83.23x = 9,332.90
  5. Step 5: Solve for x
    x = 9,332.90/83.23
  6. Step 6: Final answer
    x = 112.14

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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.