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Finding the Fourth Proportional to 103.92, 156.09 and 99.97

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Solution

The fourth proportional to 103.92, 156.09 and 99.97 is: 150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.92 : 156.09 = 99.97 : x
  2. Step 2: Convert to fraction form
    103.92/156.09 = 99.97/x
  3. Step 3: Cross multiply
    103.92x = 156.09 × 99.97
  4. Step 4: Simplify right side
    103.92x = 15,604.30
  5. Step 5: Solve for x
    x = 15,604.30/103.92
  6. Step 6: Final answer
    x = 150.16

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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.