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Finding the Fourth Proportional to 171.32, 256.97 and 73.71

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Solution

The fourth proportional to 171.32, 256.97 and 73.71 is: 110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.32 : 256.97 = 73.71 : x
  2. Step 2: Convert to fraction form
    171.32/256.97 = 73.71/x
  3. Step 3: Cross multiply
    171.32x = 256.97 × 73.71
  4. Step 4: Simplify right side
    171.32x = 18,941.44
  5. Step 5: Solve for x
    x = 18,941.44/171.32
  6. Step 6: Final answer
    x = 110.57

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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.