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Finding the Fourth Proportional to 22.64, 34.01 and 21.56

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Solution

The fourth proportional to 22.64, 34.01 and 21.56 is: 32.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.64 : 34.01 = 21.56 : x
  2. Step 2: Convert to fraction form
    22.64/34.01 = 21.56/x
  3. Step 3: Cross multiply
    22.64x = 34.01 × 21.56
  4. Step 4: Simplify right side
    22.64x = 733.15
  5. Step 5: Solve for x
    x = 733.15/22.64
  6. Step 6: Final answer
    x = 32.38

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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.