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Finding the Fourth Proportional to 22.85, 31.34 and 22.47

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Solution

The fourth proportional to 22.85, 31.34 and 22.47 is: 30.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.85 : 31.34 = 22.47 : x
  2. Step 2: Convert to fraction form
    22.85/31.34 = 22.47/x
  3. Step 3: Cross multiply
    22.85x = 31.34 × 22.47
  4. Step 4: Simplify right side
    22.85x = 704.21
  5. Step 5: Solve for x
    x = 704.21/22.85
  6. Step 6: Final answer
    x = 30.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.