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Finding the Fourth Proportional to 83.49, 115.14 and 72.55

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Solution

The fourth proportional to 83.49, 115.14 and 72.55 is: 100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.49 : 115.14 = 72.55 : x
  2. Step 2: Convert to fraction form
    83.49/115.14 = 72.55/x
  3. Step 3: Cross multiply
    83.49x = 115.14 × 72.55
  4. Step 4: Simplify right side
    83.49x = 8,353.41
  5. Step 5: Solve for x
    x = 8,353.41/83.49
  6. Step 6: Final answer
    x = 100.05

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