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Finding the Fourth Proportional to 173.22, 239 and 103.30

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Solution

The fourth proportional to 173.22, 239 and 103.30 is: 142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.22 : 239 = 103.30 : x
  2. Step 2: Convert to fraction form
    173.22/239 = 103.30/x
  3. Step 3: Cross multiply
    173.22x = 239 × 103.30
  4. Step 4: Simplify right side
    173.22x = 24,688.70
  5. Step 5: Solve for x
    x = 24,688.70/173.22
  6. Step 6: Final answer
    x = 142.53

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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.