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Finding the Fourth Proportional to 172.25, 258.17 and 80.75

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Solution

The fourth proportional to 172.25, 258.17 and 80.75 is: 121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.25 : 258.17 = 80.75 : x
  2. Step 2: Convert to fraction form
    172.25/258.17 = 80.75/x
  3. Step 3: Cross multiply
    172.25x = 258.17 × 80.75
  4. Step 4: Simplify right side
    172.25x = 20,847.23
  5. Step 5: Solve for x
    x = 20,847.23/172.25
  6. Step 6: Final answer
    x = 121.03

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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.