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Finding the Fourth Proportional to 23.30, 34.78 and 22.12

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Solution

The fourth proportional to 23.30, 34.78 and 22.12 is: 33.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.30 : 34.78 = 22.12 : x
  2. Step 2: Convert to fraction form
    23.30/34.78 = 22.12/x
  3. Step 3: Cross multiply
    23.30x = 34.78 × 22.12
  4. Step 4: Simplify right side
    23.30x = 769.33
  5. Step 5: Solve for x
    x = 769.33/23.30
  6. Step 6: Final answer
    x = 33.02

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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.