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Finding the Fourth Proportional to 143.25, 197.82 and 99.71

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Solution

The fourth proportional to 143.25, 197.82 and 99.71 is: 137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.25 : 197.82 = 99.71 : x
  2. Step 2: Convert to fraction form
    143.25/197.82 = 99.71/x
  3. Step 3: Cross multiply
    143.25x = 197.82 × 99.71
  4. Step 4: Simplify right side
    143.25x = 19,723.64
  5. Step 5: Solve for x
    x = 19,723.64/143.25
  6. Step 6: Final answer
    x = 137.69

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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.