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Finding the Fourth Proportional to 20.02, 30.00 and 11.47

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Solution

The fourth proportional to 20.02, 30.00 and 11.47 is: 17.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.02 : 30.00 = 11.47 : x
  2. Step 2: Convert to fraction form
    20.02/30.00 = 11.47/x
  3. Step 3: Cross multiply
    20.02x = 30.00 × 11.47
  4. Step 4: Simplify right side
    20.02x = 343.94
  5. Step 5: Solve for x
    x = 343.94/20.02
  6. Step 6: Final answer
    x = 17.18

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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.