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Finding the Fourth Proportional to 171.21, 235.96 and 129.66

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Solution

The fourth proportional to 171.21, 235.96 and 129.66 is: 178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.21 : 235.96 = 129.66 : x
  2. Step 2: Convert to fraction form
    171.21/235.96 = 129.66/x
  3. Step 3: Cross multiply
    171.21x = 235.96 × 129.66
  4. Step 4: Simplify right side
    171.21x = 30,594.57
  5. Step 5: Solve for x
    x = 30,594.57/171.21
  6. Step 6: Final answer
    x = 178.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.