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Finding the Fourth Proportional to 220.61, 331.07 and 83.78

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Solution

The fourth proportional to 220.61, 331.07 and 83.78 is: 125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.61 : 331.07 = 83.78 : x
  2. Step 2: Convert to fraction form
    220.61/331.07 = 83.78/x
  3. Step 3: Cross multiply
    220.61x = 331.07 × 83.78
  4. Step 4: Simplify right side
    220.61x = 27,734.97
  5. Step 5: Solve for x
    x = 27,734.97/220.61
  6. Step 6: Final answer
    x = 125.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.