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Finding the Fourth Proportional to 220.18, 330.11 and 75.86

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Solution

The fourth proportional to 220.18, 330.11 and 75.86 is: 113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.18 : 330.11 = 75.86 : x
  2. Step 2: Convert to fraction form
    220.18/330.11 = 75.86/x
  3. Step 3: Cross multiply
    220.18x = 330.11 × 75.86
  4. Step 4: Simplify right side
    220.18x = 25,042.14
  5. Step 5: Solve for x
    x = 25,042.14/220.18
  6. Step 6: Final answer
    x = 113.73

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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.