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Finding the Fourth Proportional to 141.92, 195.82 and 83.68

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Solution

The fourth proportional to 141.92, 195.82 and 83.68 is: 115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.92 : 195.82 = 83.68 : x
  2. Step 2: Convert to fraction form
    141.92/195.82 = 83.68/x
  3. Step 3: Cross multiply
    141.92x = 195.82 × 83.68
  4. Step 4: Simplify right side
    141.92x = 16,386.22
  5. Step 5: Solve for x
    x = 16,386.22/141.92
  6. Step 6: Final answer
    x = 115.46

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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.