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Finding the Fourth Proportional to 168.72, 232.81 and 103.25

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Solution

The fourth proportional to 168.72, 232.81 and 103.25 is: 142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.72 : 232.81 = 103.25 : x
  2. Step 2: Convert to fraction form
    168.72/232.81 = 103.25/x
  3. Step 3: Cross multiply
    168.72x = 232.81 × 103.25
  4. Step 4: Simplify right side
    168.72x = 24,035.95
  5. Step 5: Solve for x
    x = 24,035.95/168.72
  6. Step 6: Final answer
    x = 142.46

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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.