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Finding the Fourth Proportional to 22.09, 32.88 and 21.82

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Solution

The fourth proportional to 22.09, 32.88 and 21.82 is: 32.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.09 : 32.88 = 21.82 : x
  2. Step 2: Convert to fraction form
    22.09/32.88 = 21.82/x
  3. Step 3: Cross multiply
    22.09x = 32.88 × 21.82
  4. Step 4: Simplify right side
    22.09x = 717.44
  5. Step 5: Solve for x
    x = 717.44/22.09
  6. Step 6: Final answer
    x = 32.49

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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.