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Finding the Fourth Proportional to 20.21, 27.76 and 16.75

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Solution

The fourth proportional to 20.21, 27.76 and 16.75 is: 23.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.21 : 27.76 = 16.75 : x
  2. Step 2: Convert to fraction form
    20.21/27.76 = 16.75/x
  3. Step 3: Cross multiply
    20.21x = 27.76 × 16.75
  4. Step 4: Simplify right side
    20.21x = 464.98
  5. Step 5: Solve for x
    x = 464.98/20.21
  6. Step 6: Final answer
    x = 23.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.