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Finding the Fourth Proportional to 168.33, 252.28 and 96.03

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Solution

The fourth proportional to 168.33, 252.28 and 96.03 is: 143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.33 : 252.28 = 96.03 : x
  2. Step 2: Convert to fraction form
    168.33/252.28 = 96.03/x
  3. Step 3: Cross multiply
    168.33x = 252.28 × 96.03
  4. Step 4: Simplify right side
    168.33x = 24,226.45
  5. Step 5: Solve for x
    x = 24,226.45/168.33
  6. Step 6: Final answer
    x = 143.92

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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.