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Finding the Fourth Proportional to 96.20, 144.09 and 65.69

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Solution

The fourth proportional to 96.20, 144.09 and 65.69 is: 98.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.20 : 144.09 = 65.69 : x
  2. Step 2: Convert to fraction form
    96.20/144.09 = 65.69/x
  3. Step 3: Cross multiply
    96.20x = 144.09 × 65.69
  4. Step 4: Simplify right side
    96.20x = 9,465.27
  5. Step 5: Solve for x
    x = 9,465.27/96.20
  6. Step 6: Final answer
    x = 98.39

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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.