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Finding the Fourth Proportional to 141.62, 195.39 and 83.39

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Solution

The fourth proportional to 141.62, 195.39 and 83.39 is: 115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.62 : 195.39 = 83.39 : x
  2. Step 2: Convert to fraction form
    141.62/195.39 = 83.39/x
  3. Step 3: Cross multiply
    141.62x = 195.39 × 83.39
  4. Step 4: Simplify right side
    141.62x = 16,293.57
  5. Step 5: Solve for x
    x = 16,293.57/141.62
  6. Step 6: Final answer
    x = 115.05

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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.