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Finding the Fourth Proportional to 141.86, 195.86 and 106.97

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Solution

The fourth proportional to 141.86, 195.86 and 106.97 is: 147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.86 : 195.86 = 106.97 : x
  2. Step 2: Convert to fraction form
    141.86/195.86 = 106.97/x
  3. Step 3: Cross multiply
    141.86x = 195.86 × 106.97
  4. Step 4: Simplify right side
    141.86x = 20,951.14
  5. Step 5: Solve for x
    x = 20,951.14/141.86
  6. Step 6: Final answer
    x = 147.69

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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.