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Finding the Fourth Proportional to 22.24, 30.68 and 14.47

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Solution

The fourth proportional to 22.24, 30.68 and 14.47 is: 19.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.24 : 30.68 = 14.47 : x
  2. Step 2: Convert to fraction form
    22.24/30.68 = 14.47/x
  3. Step 3: Cross multiply
    22.24x = 30.68 × 14.47
  4. Step 4: Simplify right side
    22.24x = 443.94
  5. Step 5: Solve for x
    x = 443.94/22.24
  6. Step 6: Final answer
    x = 19.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.