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Finding the Fourth Proportional to 169.37, 254.16 and 108.54

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Solution

The fourth proportional to 169.37, 254.16 and 108.54 is: 162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.37 : 254.16 = 108.54 : x
  2. Step 2: Convert to fraction form
    169.37/254.16 = 108.54/x
  3. Step 3: Cross multiply
    169.37x = 254.16 × 108.54
  4. Step 4: Simplify right side
    169.37x = 27,586.53
  5. Step 5: Solve for x
    x = 27,586.53/169.37
  6. Step 6: Final answer
    x = 162.88

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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.