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Finding the Fourth Proportional to 143.89, 198.05 and 102.38

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Solution

The fourth proportional to 143.89, 198.05 and 102.38 is: 140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.89 : 198.05 = 102.38 : x
  2. Step 2: Convert to fraction form
    143.89/198.05 = 102.38/x
  3. Step 3: Cross multiply
    143.89x = 198.05 × 102.38
  4. Step 4: Simplify right side
    143.89x = 20,274.86
  5. Step 5: Solve for x
    x = 20,274.86/143.89
  6. Step 6: Final answer
    x = 140.91

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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.