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Finding the Fourth Proportional to 168.86, 232.80 and 109.75

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Solution

The fourth proportional to 168.86, 232.80 and 109.75 is: 151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.86 : 232.80 = 109.75 : x
  2. Step 2: Convert to fraction form
    168.86/232.80 = 109.75/x
  3. Step 3: Cross multiply
    168.86x = 232.80 × 109.75
  4. Step 4: Simplify right side
    168.86x = 25,548.64
  5. Step 5: Solve for x
    x = 25,548.64/168.86
  6. Step 6: Final answer
    x = 151.31

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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.