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Finding the Fourth Proportional to 171.24, 256.84 and 102.61

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Solution

The fourth proportional to 171.24, 256.84 and 102.61 is: 153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.24 : 256.84 = 102.61 : x
  2. Step 2: Convert to fraction form
    171.24/256.84 = 102.61/x
  3. Step 3: Cross multiply
    171.24x = 256.84 × 102.61
  4. Step 4: Simplify right side
    171.24x = 26,353.97
  5. Step 5: Solve for x
    x = 26,353.97/171.24
  6. Step 6: Final answer
    x = 153.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.