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Finding the Fourth Proportional to 143.38, 197.36 and 105.97

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Solution

The fourth proportional to 143.38, 197.36 and 105.97 is: 145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.38 : 197.36 = 105.97 : x
  2. Step 2: Convert to fraction form
    143.38/197.36 = 105.97/x
  3. Step 3: Cross multiply
    143.38x = 197.36 × 105.97
  4. Step 4: Simplify right side
    143.38x = 20,912.72
  5. Step 5: Solve for x
    x = 20,912.72/143.38
  6. Step 6: Final answer
    x = 145.86

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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.