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Finding the Fourth Proportional to 220.77, 331.14 and 83.82

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Solution

The fourth proportional to 220.77, 331.14 and 83.82 is: 125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.77 : 331.14 = 83.82 : x
  2. Step 2: Convert to fraction form
    220.77/331.14 = 83.82/x
  3. Step 3: Cross multiply
    220.77x = 331.14 × 83.82
  4. Step 4: Simplify right side
    220.77x = 27,756.15
  5. Step 5: Solve for x
    x = 27,756.15/220.77
  6. Step 6: Final answer
    x = 125.72

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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.