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Finding the Fourth Proportional to 141.94, 195.86 and 78.92

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Solution

The fourth proportional to 141.94, 195.86 and 78.92 is: 108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.94 : 195.86 = 78.92 : x
  2. Step 2: Convert to fraction form
    141.94/195.86 = 78.92/x
  3. Step 3: Cross multiply
    141.94x = 195.86 × 78.92
  4. Step 4: Simplify right side
    141.94x = 15,456.49
  5. Step 5: Solve for x
    x = 15,456.49/141.94
  6. Step 6: Final answer
    x = 108.90

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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.