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Finding the Fourth Proportional to 141.54, 195.23 and 129.92

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Solution

The fourth proportional to 141.54, 195.23 and 129.92 is: 179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.54 : 195.23 = 129.92 : x
  2. Step 2: Convert to fraction form
    141.54/195.23 = 129.92/x
  3. Step 3: Cross multiply
    141.54x = 195.23 × 129.92
  4. Step 4: Simplify right side
    141.54x = 25,363.39
  5. Step 5: Solve for x
    x = 25,363.39/141.54
  6. Step 6: Final answer
    x = 179.20

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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.