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Finding the Fourth Proportional to 141.43, 195.14 and 86.15

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Solution

The fourth proportional to 141.43, 195.14 and 86.15 is: 118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.43 : 195.14 = 86.15 : x
  2. Step 2: Convert to fraction form
    141.43/195.14 = 86.15/x
  3. Step 3: Cross multiply
    141.43x = 195.14 × 86.15
  4. Step 4: Simplify right side
    141.43x = 16,811.31
  5. Step 5: Solve for x
    x = 16,811.31/141.43
  6. Step 6: Final answer
    x = 118.87

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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.