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Finding the Fourth Proportional to 22.25, 30.71 and 16.09

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Solution

The fourth proportional to 22.25, 30.71 and 16.09 is: 22.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.25 : 30.71 = 16.09 : x
  2. Step 2: Convert to fraction form
    22.25/30.71 = 16.09/x
  3. Step 3: Cross multiply
    22.25x = 30.71 × 16.09
  4. Step 4: Simplify right side
    22.25x = 493.89
  5. Step 5: Solve for x
    x = 493.89/22.25
  6. Step 6: Final answer
    x = 22.20

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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.