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Finding the Fourth Proportional to 23.72, 35.41 and 20.12

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Solution

The fourth proportional to 23.72, 35.41 and 20.12 is: 30.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.72 : 35.41 = 20.12 : x
  2. Step 2: Convert to fraction form
    23.72/35.41 = 20.12/x
  3. Step 3: Cross multiply
    23.72x = 35.41 × 20.12
  4. Step 4: Simplify right side
    23.72x = 712.45
  5. Step 5: Solve for x
    x = 712.45/23.72
  6. Step 6: Final answer
    x = 30.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.