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Finding the Fourth Proportional to 168.14, 251.63 and 103.11

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Solution

The fourth proportional to 168.14, 251.63 and 103.11 is: 154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.14 : 251.63 = 103.11 : x
  2. Step 2: Convert to fraction form
    168.14/251.63 = 103.11/x
  3. Step 3: Cross multiply
    168.14x = 251.63 × 103.11
  4. Step 4: Simplify right side
    168.14x = 25,945.05
  5. Step 5: Solve for x
    x = 25,945.05/168.14
  6. Step 6: Final answer
    x = 154.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.