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Finding the Fourth Proportional to 22.42, 30.88 and 16.27

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Solution

The fourth proportional to 22.42, 30.88 and 16.27 is: 22.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.42 : 30.88 = 16.27 : x
  2. Step 2: Convert to fraction form
    22.42/30.88 = 16.27/x
  3. Step 3: Cross multiply
    22.42x = 30.88 × 16.27
  4. Step 4: Simplify right side
    22.42x = 502.42
  5. Step 5: Solve for x
    x = 502.42/22.42
  6. Step 6: Final answer
    x = 22.41

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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.