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Finding the Fourth Proportional to 172.57, 258.71 and 108.31

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Solution

The fourth proportional to 172.57, 258.71 and 108.31 is: 162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.57 : 258.71 = 108.31 : x
  2. Step 2: Convert to fraction form
    172.57/258.71 = 108.31/x
  3. Step 3: Cross multiply
    172.57x = 258.71 × 108.31
  4. Step 4: Simplify right side
    172.57x = 28,020.88
  5. Step 5: Solve for x
    x = 28,020.88/172.57
  6. Step 6: Final answer
    x = 162.37

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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.