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Finding the Fourth Proportional to 96.03, 144.03 and 38.23

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Solution

The fourth proportional to 96.03, 144.03 and 38.23 is: 57.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.03 : 144.03 = 38.23 : x
  2. Step 2: Convert to fraction form
    96.03/144.03 = 38.23/x
  3. Step 3: Cross multiply
    96.03x = 144.03 × 38.23
  4. Step 4: Simplify right side
    96.03x = 5,506.27
  5. Step 5: Solve for x
    x = 5,506.27/96.03
  6. Step 6: Final answer
    x = 57.34

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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.