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Finding the Fourth Proportional to 173.89, 239.97 and 100.24

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Solution

The fourth proportional to 173.89, 239.97 and 100.24 is: 138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.89 : 239.97 = 100.24 : x
  2. Step 2: Convert to fraction form
    173.89/239.97 = 100.24/x
  3. Step 3: Cross multiply
    173.89x = 239.97 × 100.24
  4. Step 4: Simplify right side
    173.89x = 24,054.59
  5. Step 5: Solve for x
    x = 24,054.59/173.89
  6. Step 6: Final answer
    x = 138.33

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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.