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Finding the Fourth Proportional to 141.75, 195.61 and 92.65

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Solution

The fourth proportional to 141.75, 195.61 and 92.65 is: 127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.75 : 195.61 = 92.65 : x
  2. Step 2: Convert to fraction form
    141.75/195.61 = 92.65/x
  3. Step 3: Cross multiply
    141.75x = 195.61 × 92.65
  4. Step 4: Simplify right side
    141.75x = 18,123.27
  5. Step 5: Solve for x
    x = 18,123.27/141.75
  6. Step 6: Final answer
    x = 127.85

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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.