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Finding the Fourth Proportional to 141.20, 195.04 and 122.88

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Solution

The fourth proportional to 141.20, 195.04 and 122.88 is: 169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.20 : 195.04 = 122.88 : x
  2. Step 2: Convert to fraction form
    141.20/195.04 = 122.88/x
  3. Step 3: Cross multiply
    141.20x = 195.04 × 122.88
  4. Step 4: Simplify right side
    141.20x = 23,966.52
  5. Step 5: Solve for x
    x = 23,966.52/141.20
  6. Step 6: Final answer
    x = 169.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.