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Finding the Fourth Proportional to 140.82, 194.30 and 84.78

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Solution

The fourth proportional to 140.82, 194.30 and 84.78 is: 116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.82 : 194.30 = 84.78 : x
  2. Step 2: Convert to fraction form
    140.82/194.30 = 84.78/x
  3. Step 3: Cross multiply
    140.82x = 194.30 × 84.78
  4. Step 4: Simplify right side
    140.82x = 16,472.33
  5. Step 5: Solve for x
    x = 16,472.33/140.82
  6. Step 6: Final answer
    x = 116.97

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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.