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Finding the Fourth Proportional to 173.14, 239.00 and 103.26

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Solution

The fourth proportional to 173.14, 239.00 and 103.26 is: 142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.14 : 239.00 = 103.26 : x
  2. Step 2: Convert to fraction form
    173.14/239.00 = 103.26/x
  3. Step 3: Cross multiply
    173.14x = 239.00 × 103.26
  4. Step 4: Simplify right side
    173.14x = 24,678.62
  5. Step 5: Solve for x
    x = 24,678.62/173.14
  6. Step 6: Final answer
    x = 142.54

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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.