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Finding the Fourth Proportional to 171.42, 257.24 and 63.20

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Solution

The fourth proportional to 171.42, 257.24 and 63.20 is: 94.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.42 : 257.24 = 63.20 : x
  2. Step 2: Convert to fraction form
    171.42/257.24 = 63.20/x
  3. Step 3: Cross multiply
    171.42x = 257.24 × 63.20
  4. Step 4: Simplify right side
    171.42x = 16,257.57
  5. Step 5: Solve for x
    x = 16,257.57/171.42
  6. Step 6: Final answer
    x = 94.84

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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.