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Finding the Fourth Proportional to 96.38, 144.66 and 50.78

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Solution

The fourth proportional to 96.38, 144.66 and 50.78 is: 76.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.38 : 144.66 = 50.78 : x
  2. Step 2: Convert to fraction form
    96.38/144.66 = 50.78/x
  3. Step 3: Cross multiply
    96.38x = 144.66 × 50.78
  4. Step 4: Simplify right side
    96.38x = 7,345.83
  5. Step 5: Solve for x
    x = 7,345.83/96.38
  6. Step 6: Final answer
    x = 76.22

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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.