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Finding the Fourth Proportional to 172.23, 258.11 and 80.72

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Solution

The fourth proportional to 172.23, 258.11 and 80.72 is: 120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.23 : 258.11 = 80.72 : x
  2. Step 2: Convert to fraction form
    172.23/258.11 = 80.72/x
  3. Step 3: Cross multiply
    172.23x = 258.11 × 80.72
  4. Step 4: Simplify right side
    172.23x = 20,832.95
  5. Step 5: Solve for x
    x = 20,832.95/172.23
  6. Step 6: Final answer
    x = 120.96

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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.