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Finding the Fourth Proportional to 171.55, 256.83 and 110.71

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Solution

The fourth proportional to 171.55, 256.83 and 110.71 is: 165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.55 : 256.83 = 110.71 : x
  2. Step 2: Convert to fraction form
    171.55/256.83 = 110.71/x
  3. Step 3: Cross multiply
    171.55x = 256.83 × 110.71
  4. Step 4: Simplify right side
    171.55x = 28,433.65
  5. Step 5: Solve for x
    x = 28,433.65/171.55
  6. Step 6: Final answer
    x = 165.75

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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.