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Finding the Fourth Proportional to 143.89, 198.39 and 112.71

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Solution

The fourth proportional to 143.89, 198.39 and 112.71 is: 155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.89 : 198.39 = 112.71 : x
  2. Step 2: Convert to fraction form
    143.89/198.39 = 112.71/x
  3. Step 3: Cross multiply
    143.89x = 198.39 × 112.71
  4. Step 4: Simplify right side
    143.89x = 22,360.54
  5. Step 5: Solve for x
    x = 22,360.54/143.89
  6. Step 6: Final answer
    x = 155.40

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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.