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Finding the Fourth Proportional to 103.92, 155.92 and 102.48

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Solution

The fourth proportional to 103.92, 155.92 and 102.48 is: 153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.92 : 155.92 = 102.48 : x
  2. Step 2: Convert to fraction form
    103.92/155.92 = 102.48/x
  3. Step 3: Cross multiply
    103.92x = 155.92 × 102.48
  4. Step 4: Simplify right side
    103.92x = 15,978.68
  5. Step 5: Solve for x
    x = 15,978.68/103.92
  6. Step 6: Final answer
    x = 153.76

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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.