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Finding the Fourth Proportional to 141.38, 195.04 and 83.13

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Solution

The fourth proportional to 141.38, 195.04 and 83.13 is: 114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.38 : 195.04 = 83.13 : x
  2. Step 2: Convert to fraction form
    141.38/195.04 = 83.13/x
  3. Step 3: Cross multiply
    141.38x = 195.04 × 83.13
  4. Step 4: Simplify right side
    141.38x = 16,213.68
  5. Step 5: Solve for x
    x = 16,213.68/141.38
  6. Step 6: Final answer
    x = 114.68

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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.