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Finding the Fourth Proportional to 22.70, 34.02 and 22.05

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Solution

The fourth proportional to 22.70, 34.02 and 22.05 is: 33.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.70 : 34.02 = 22.05 : x
  2. Step 2: Convert to fraction form
    22.70/34.02 = 22.05/x
  3. Step 3: Cross multiply
    22.70x = 34.02 × 22.05
  4. Step 4: Simplify right side
    22.70x = 750.14
  5. Step 5: Solve for x
    x = 750.14/22.70
  6. Step 6: Final answer
    x = 33.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.