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Finding the Fourth Proportional to 96.05, 144.05 and 38.30

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Solution

The fourth proportional to 96.05, 144.05 and 38.30 is: 57.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.05 : 144.05 = 38.30 : x
  2. Step 2: Convert to fraction form
    96.05/144.05 = 38.30/x
  3. Step 3: Cross multiply
    96.05x = 144.05 × 38.30
  4. Step 4: Simplify right side
    96.05x = 5,516.20
  5. Step 5: Solve for x
    x = 5,516.20/96.05
  6. Step 6: Final answer
    x = 57.43

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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.