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Finding the Fourth Proportional to 103.20, 154.04 and 96.36

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Solution

The fourth proportional to 103.20, 154.04 and 96.36 is: 143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.20 : 154.04 = 96.36 : x
  2. Step 2: Convert to fraction form
    103.20/154.04 = 96.36/x
  3. Step 3: Cross multiply
    103.20x = 154.04 × 96.36
  4. Step 4: Simplify right side
    103.20x = 14,843.54
  5. Step 5: Solve for x
    x = 14,843.54/103.20
  6. Step 6: Final answer
    x = 143.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.