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Finding the Fourth Proportional to 168.48, 232.34 and 109.49

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Solution

The fourth proportional to 168.48, 232.34 and 109.49 is: 150.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.48 : 232.34 = 109.49 : x
  2. Step 2: Convert to fraction form
    168.48/232.34 = 109.49/x
  3. Step 3: Cross multiply
    168.48x = 232.34 × 109.49
  4. Step 4: Simplify right side
    168.48x = 25,437.20
  5. Step 5: Solve for x
    x = 25,437.20/168.48
  6. Step 6: Final answer
    x = 150.98

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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.