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Finding the Fourth Proportional to 22.42, 30.97 and 16.28

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Solution

The fourth proportional to 22.42, 30.97 and 16.28 is: 22.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.42 : 30.97 = 16.28 : x
  2. Step 2: Convert to fraction form
    22.42/30.97 = 16.28/x
  3. Step 3: Cross multiply
    22.42x = 30.97 × 16.28
  4. Step 4: Simplify right side
    22.42x = 504.19
  5. Step 5: Solve for x
    x = 504.19/22.42
  6. Step 6: Final answer
    x = 22.49

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Why These Related Problems?

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