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Finding the Fourth Proportional to 96.23, 144.20 and 68.76

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Solution

The fourth proportional to 96.23, 144.20 and 68.76 is: 103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.23 : 144.20 = 68.76 : x
  2. Step 2: Convert to fraction form
    96.23/144.20 = 68.76/x
  3. Step 3: Cross multiply
    96.23x = 144.20 × 68.76
  4. Step 4: Simplify right side
    96.23x = 9,914.85
  5. Step 5: Solve for x
    x = 9,914.85/96.23
  6. Step 6: Final answer
    x = 103.04

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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.