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Finding the Fourth Proportional to 143.11, 197.49 and 84.09

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Solution

The fourth proportional to 143.11, 197.49 and 84.09 is: 116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.11 : 197.49 = 84.09 : x
  2. Step 2: Convert to fraction form
    143.11/197.49 = 84.09/x
  3. Step 3: Cross multiply
    143.11x = 197.49 × 84.09
  4. Step 4: Simplify right side
    143.11x = 16,606.93
  5. Step 5: Solve for x
    x = 16,606.93/143.11
  6. Step 6: Final answer
    x = 116.04

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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.