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Finding the Fourth Proportional to 171.06, 257.07 and 102.60

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Solution

The fourth proportional to 171.06, 257.07 and 102.60 is: 154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.06 : 257.07 = 102.60 : x
  2. Step 2: Convert to fraction form
    171.06/257.07 = 102.60/x
  3. Step 3: Cross multiply
    171.06x = 257.07 × 102.60
  4. Step 4: Simplify right side
    171.06x = 26,375.38
  5. Step 5: Solve for x
    x = 26,375.38/171.06
  6. Step 6: Final answer
    x = 154.19

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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.