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Finding the Fourth Proportional to 22.26, 33.12 and 21.05

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Solution

The fourth proportional to 22.26, 33.12 and 21.05 is: 31.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.26 : 33.12 = 21.05 : x
  2. Step 2: Convert to fraction form
    22.26/33.12 = 21.05/x
  3. Step 3: Cross multiply
    22.26x = 33.12 × 21.05
  4. Step 4: Simplify right side
    22.26x = 697.18
  5. Step 5: Solve for x
    x = 697.18/22.26
  6. Step 6: Final answer
    x = 31.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.