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Finding the Fourth Proportional to 143.44, 197.87 and 102.05

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Solution

The fourth proportional to 143.44, 197.87 and 102.05 is: 140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.44 : 197.87 = 102.05 : x
  2. Step 2: Convert to fraction form
    143.44/197.87 = 102.05/x
  3. Step 3: Cross multiply
    143.44x = 197.87 × 102.05
  4. Step 4: Simplify right side
    143.44x = 20,192.62
  5. Step 5: Solve for x
    x = 20,192.62/143.44
  6. Step 6: Final answer
    x = 140.78

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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.