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Finding the Fourth Proportional to 83.60, 115.31 and 72.66

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Solution

The fourth proportional to 83.60, 115.31 and 72.66 is: 100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.60 : 115.31 = 72.66 : x
  2. Step 2: Convert to fraction form
    83.60/115.31 = 72.66/x
  3. Step 3: Cross multiply
    83.60x = 115.31 × 72.66
  4. Step 4: Simplify right side
    83.60x = 8,378.06
  5. Step 5: Solve for x
    x = 8,378.06/83.60
  6. Step 6: Final answer
    x = 100.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.