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Finding the Fourth Proportional to 23.05, 34.64 and 20.22

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Solution

The fourth proportional to 23.05, 34.64 and 20.22 is: 30.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.05 : 34.64 = 20.22 : x
  2. Step 2: Convert to fraction form
    23.05/34.64 = 20.22/x
  3. Step 3: Cross multiply
    23.05x = 34.64 × 20.22
  4. Step 4: Simplify right side
    23.05x = 700.42
  5. Step 5: Solve for x
    x = 700.42/23.05
  6. Step 6: Final answer
    x = 30.39

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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.