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Finding the Fourth Proportional to 173.26, 239.09 and 102.37

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Solution

The fourth proportional to 173.26, 239.09 and 102.37 is: 141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.26 : 239.09 = 102.37 : x
  2. Step 2: Convert to fraction form
    173.26/239.09 = 102.37/x
  3. Step 3: Cross multiply
    173.26x = 239.09 × 102.37
  4. Step 4: Simplify right side
    173.26x = 24,473.94
  5. Step 5: Solve for x
    x = 24,473.94/173.26
  6. Step 6: Final answer
    x = 141.25

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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.