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Finding the Fourth Proportional to 173.23, 239.09 and 107.76

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Solution

The fourth proportional to 173.23, 239.09 and 107.76 is: 148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.23 : 239.09 = 107.76 : x
  2. Step 2: Convert to fraction form
    173.23/239.09 = 107.76/x
  3. Step 3: Cross multiply
    173.23x = 239.09 × 107.76
  4. Step 4: Simplify right side
    173.23x = 25,764.34
  5. Step 5: Solve for x
    x = 25,764.34/173.23
  6. Step 6: Final answer
    x = 148.73

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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.