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Finding the Fourth Proportional to 143.52, 198.04 and 81.34

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Solution

The fourth proportional to 143.52, 198.04 and 81.34 is: 112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.52 : 198.04 = 81.34 : x
  2. Step 2: Convert to fraction form
    143.52/198.04 = 81.34/x
  3. Step 3: Cross multiply
    143.52x = 198.04 × 81.34
  4. Step 4: Simplify right side
    143.52x = 16,107.18
  5. Step 5: Solve for x
    x = 16,107.18/143.52
  6. Step 6: Final answer
    x = 112.23

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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.