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Finding the Fourth Proportional to 143.87, 198.41 and 102.44

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Solution

The fourth proportional to 143.87, 198.41 and 102.44 is: 141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.87 : 198.41 = 102.44 : x
  2. Step 2: Convert to fraction form
    143.87/198.41 = 102.44/x
  3. Step 3: Cross multiply
    143.87x = 198.41 × 102.44
  4. Step 4: Simplify right side
    143.87x = 20,325.10
  5. Step 5: Solve for x
    x = 20,325.10/143.87
  6. Step 6: Final answer
    x = 141.28

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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.