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Finding the Fourth Proportional to 173.82, 239.96 and 108.32

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Solution

The fourth proportional to 173.82, 239.96 and 108.32 is: 149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.82 : 239.96 = 108.32 : x
  2. Step 2: Convert to fraction form
    173.82/239.96 = 108.32/x
  3. Step 3: Cross multiply
    173.82x = 239.96 × 108.32
  4. Step 4: Simplify right side
    173.82x = 25,992.47
  5. Step 5: Solve for x
    x = 25,992.47/173.82
  6. Step 6: Final answer
    x = 149.54

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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.