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Finding the Fourth Proportional to 220.42, 330.52 and 81.50

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Solution

The fourth proportional to 220.42, 330.52 and 81.50 is: 122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.42 : 330.52 = 81.50 : x
  2. Step 2: Convert to fraction form
    220.42/330.52 = 81.50/x
  3. Step 3: Cross multiply
    220.42x = 330.52 × 81.50
  4. Step 4: Simplify right side
    220.42x = 26,937.48
  5. Step 5: Solve for x
    x = 26,937.48/220.42
  6. Step 6: Final answer
    x = 122.21

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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.