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Finding the Fourth Proportional to 151.92, 209.68 and 96.68

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Solution

The fourth proportional to 151.92, 209.68 and 96.68 is: 133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.92 : 209.68 = 96.68 : x
  2. Step 2: Convert to fraction form
    151.92/209.68 = 96.68/x
  3. Step 3: Cross multiply
    151.92x = 209.68 × 96.68
  4. Step 4: Simplify right side
    151.92x = 20,271.86
  5. Step 5: Solve for x
    x = 20,271.86/151.92
  6. Step 6: Final answer
    x = 133.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.