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Finding the Fourth Proportional to 173.31, 259.70 and 80.66

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Solution

The fourth proportional to 173.31, 259.70 and 80.66 is: 120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.31 : 259.70 = 80.66 : x
  2. Step 2: Convert to fraction form
    173.31/259.70 = 80.66/x
  3. Step 3: Cross multiply
    173.31x = 259.70 × 80.66
  4. Step 4: Simplify right side
    173.31x = 20,945.70
  5. Step 5: Solve for x
    x = 20,945.70/173.31
  6. Step 6: Final answer
    x = 120.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.