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Finding the Fourth Proportional to 143.97, 198.39 and 120.66

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Solution

The fourth proportional to 143.97, 198.39 and 120.66 is: 166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.97 : 198.39 = 120.66 : x
  2. Step 2: Convert to fraction form
    143.97/198.39 = 120.66/x
  3. Step 3: Cross multiply
    143.97x = 198.39 × 120.66
  4. Step 4: Simplify right side
    143.97x = 23,937.74
  5. Step 5: Solve for x
    x = 23,937.74/143.97
  6. Step 6: Final answer
    x = 166.27

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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.