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Finding the Fourth Proportional to 144.97, 200.11 and 112.17

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Solution

The fourth proportional to 144.97, 200.11 and 112.17 is: 154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.97 : 200.11 = 112.17 : x
  2. Step 2: Convert to fraction form
    144.97/200.11 = 112.17/x
  3. Step 3: Cross multiply
    144.97x = 200.11 × 112.17
  4. Step 4: Simplify right side
    144.97x = 22,446.34
  5. Step 5: Solve for x
    x = 22,446.34/144.97
  6. Step 6: Final answer
    x = 154.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.