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Finding the Fourth Proportional to 173.85, 239.96 and 100.22

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Solution

The fourth proportional to 173.85, 239.96 and 100.22 is: 138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.85 : 239.96 = 100.22 : x
  2. Step 2: Convert to fraction form
    173.85/239.96 = 100.22/x
  3. Step 3: Cross multiply
    173.85x = 239.96 × 100.22
  4. Step 4: Simplify right side
    173.85x = 24,048.87
  5. Step 5: Solve for x
    x = 24,048.87/173.85
  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.