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Finding the Fourth Proportional to 171.06, 255.96 and 127.44

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Solution

The fourth proportional to 171.06, 255.96 and 127.44 is: 190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.06 : 255.96 = 127.44 : x
  2. Step 2: Convert to fraction form
    171.06/255.96 = 127.44/x
  3. Step 3: Cross multiply
    171.06x = 255.96 × 127.44
  4. Step 4: Simplify right side
    171.06x = 32,619.54
  5. Step 5: Solve for x
    x = 32,619.54/171.06
  6. Step 6: Final answer
    x = 190.69

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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.