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Finding the Fourth Proportional to 20.11, 27.74 and 16.03

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Solution

The fourth proportional to 20.11, 27.74 and 16.03 is: 22.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.11 : 27.74 = 16.03 : x
  2. Step 2: Convert to fraction form
    20.11/27.74 = 16.03/x
  3. Step 3: Cross multiply
    20.11x = 27.74 × 16.03
  4. Step 4: Simplify right side
    20.11x = 444.67
  5. Step 5: Solve for x
    x = 444.67/20.11
  6. Step 6: Final answer
    x = 22.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.