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Finding the Fourth Proportional to 22.43, 30.89 and 16.29

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Solution

The fourth proportional to 22.43, 30.89 and 16.29 is: 22.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.43 : 30.89 = 16.29 : x
  2. Step 2: Convert to fraction form
    22.43/30.89 = 16.29/x
  3. Step 3: Cross multiply
    22.43x = 30.89 × 16.29
  4. Step 4: Simplify right side
    22.43x = 503.12
  5. Step 5: Solve for x
    x = 503.12/22.43
  6. Step 6: Final answer
    x = 22.44

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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.