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Finding the Fourth Proportional to 173.21, 238.92 and 103.22

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Solution

The fourth proportional to 173.21, 238.92 and 103.22 is: 142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.21 : 238.92 = 103.22 : x
  2. Step 2: Convert to fraction form
    173.21/238.92 = 103.22/x
  3. Step 3: Cross multiply
    173.21x = 238.92 × 103.22
  4. Step 4: Simplify right side
    173.21x = 24,659.61
  5. Step 5: Solve for x
    x = 24,659.61/173.21
  6. Step 6: Final answer
    x = 142.37

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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.