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Finding the Fourth Proportional to 220.10, 330.29 and 91.85

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Solution

The fourth proportional to 220.10, 330.29 and 91.85 is: 137.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.10 : 330.29 = 91.85 : x
  2. Step 2: Convert to fraction form
    220.10/330.29 = 91.85/x
  3. Step 3: Cross multiply
    220.10x = 330.29 × 91.85
  4. Step 4: Simplify right side
    220.10x = 30,337.14
  5. Step 5: Solve for x
    x = 30,337.14/220.10
  6. Step 6: Final answer
    x = 137.83

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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.