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Finding the Fourth Proportional to 22.80, 31.12 and 22.44

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Solution

The fourth proportional to 22.80, 31.12 and 22.44 is: 30.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.80 : 31.12 = 22.44 : x
  2. Step 2: Convert to fraction form
    22.80/31.12 = 22.44/x
  3. Step 3: Cross multiply
    22.80x = 31.12 × 22.44
  4. Step 4: Simplify right side
    22.80x = 698.33
  5. Step 5: Solve for x
    x = 698.33/22.80
  6. Step 6: Final answer
    x = 30.63

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.