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Finding the Fourth Proportional to 172.29, 258.31 and 80.98

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Solution

The fourth proportional to 172.29, 258.31 and 80.98 is: 121.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.29 : 258.31 = 80.98 : x
  2. Step 2: Convert to fraction form
    172.29/258.31 = 80.98/x
  3. Step 3: Cross multiply
    172.29x = 258.31 × 80.98
  4. Step 4: Simplify right side
    172.29x = 20,917.94
  5. Step 5: Solve for x
    x = 20,917.94/172.29
  6. Step 6: Final answer
    x = 121.41

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