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Finding the Fourth Proportional to 171.45, 257.23 and 55.90

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Solution

The fourth proportional to 171.45, 257.23 and 55.90 is: 83.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.45 : 257.23 = 55.90 : x
  2. Step 2: Convert to fraction form
    171.45/257.23 = 55.90/x
  3. Step 3: Cross multiply
    171.45x = 257.23 × 55.90
  4. Step 4: Simplify right side
    171.45x = 14,377.87
  5. Step 5: Solve for x
    x = 14,377.87/171.45
  6. Step 6: Final answer
    x = 83.86

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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.