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Finding the Fourth Proportional to 247.54, 371.42 and 85.24

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Solution

The fourth proportional to 247.54, 371.42 and 85.24 is: 127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.54 : 371.42 = 85.24 : x
  2. Step 2: Convert to fraction form
    247.54/371.42 = 85.24/x
  3. Step 3: Cross multiply
    247.54x = 371.42 × 85.24
  4. Step 4: Simplify right side
    247.54x = 31,659.84
  5. Step 5: Solve for x
    x = 31,659.84/247.54
  6. Step 6: Final answer
    x = 127.90

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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.