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Finding the Fourth Proportional to 141.91, 195.83 and 83.69

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Solution

The fourth proportional to 141.91, 195.83 and 83.69 is: 115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.91 : 195.83 = 83.69 : x
  2. Step 2: Convert to fraction form
    141.91/195.83 = 83.69/x
  3. Step 3: Cross multiply
    141.91x = 195.83 × 83.69
  4. Step 4: Simplify right side
    141.91x = 16,389.13
  5. Step 5: Solve for x
    x = 16,389.13/141.91
  6. Step 6: Final answer
    x = 115.49

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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.