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Finding the Fourth Proportional to 22.84, 33.96 and 22.02

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Solution

The fourth proportional to 22.84, 33.96 and 22.02 is: 32.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.84 : 33.96 = 22.02 : x
  2. Step 2: Convert to fraction form
    22.84/33.96 = 22.02/x
  3. Step 3: Cross multiply
    22.84x = 33.96 × 22.02
  4. Step 4: Simplify right side
    22.84x = 747.80
  5. Step 5: Solve for x
    x = 747.80/22.84
  6. Step 6: Final answer
    x = 32.74

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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.