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Finding the Fourth Proportional to 172.27, 257.85 and 110.61

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Solution

The fourth proportional to 172.27, 257.85 and 110.61 is: 165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.27 : 257.85 = 110.61 : x
  2. Step 2: Convert to fraction form
    172.27/257.85 = 110.61/x
  3. Step 3: Cross multiply
    172.27x = 257.85 × 110.61
  4. Step 4: Simplify right side
    172.27x = 28,520.79
  5. Step 5: Solve for x
    x = 28,520.79/172.27
  6. Step 6: Final answer
    x = 165.56

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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.