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Finding the Fourth Proportional to 143.69, 198.31 and 85.47

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Solution

The fourth proportional to 143.69, 198.31 and 85.47 is: 117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.69 : 198.31 = 85.47 : x
  2. Step 2: Convert to fraction form
    143.69/198.31 = 85.47/x
  3. Step 3: Cross multiply
    143.69x = 198.31 × 85.47
  4. Step 4: Simplify right side
    143.69x = 16,949.13
  5. Step 5: Solve for x
    x = 16,949.13/143.69
  6. Step 6: Final answer
    x = 117.96

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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.