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Finding the Fourth Proportional to 221.14, 331.84 and 91.20

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Solution

The fourth proportional to 221.14, 331.84 and 91.20 is: 136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.14 : 331.84 = 91.20 : x
  2. Step 2: Convert to fraction form
    221.14/331.84 = 91.20/x
  3. Step 3: Cross multiply
    221.14x = 331.84 × 91.20
  4. Step 4: Simplify right side
    221.14x = 30,263.92
  5. Step 5: Solve for x
    x = 30,263.92/221.14
  6. Step 6: Final answer
    x = 136.86

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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.