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Finding the Fourth Proportional to 20.09, 30.01 and 16.04

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Solution

The fourth proportional to 20.09, 30.01 and 16.04 is: 23.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.09 : 30.01 = 16.04 : x
  2. Step 2: Convert to fraction form
    20.09/30.01 = 16.04/x
  3. Step 3: Cross multiply
    20.09x = 30.01 × 16.04
  4. Step 4: Simplify right side
    20.09x = 481.21
  5. Step 5: Solve for x
    x = 481.21/20.09
  6. Step 6: Final answer
    x = 23.96

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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.