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Finding the Fourth Proportional to 22.78, 34.02 and 22.09

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Solution

The fourth proportional to 22.78, 34.02 and 22.09 is: 32.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.78 : 34.02 = 22.09 : x
  2. Step 2: Convert to fraction form
    22.78/34.02 = 22.09/x
  3. Step 3: Cross multiply
    22.78x = 34.02 × 22.09
  4. Step 4: Simplify right side
    22.78x = 751.50
  5. Step 5: Solve for x
    x = 751.50/22.78
  6. Step 6: Final answer
    x = 32.99

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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.