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Finding the Fourth Proportional to 16.25, 22.44 and 10.11

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Solution

The fourth proportional to 16.25, 22.44 and 10.11 is: 13.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.25 : 22.44 = 10.11 : x
  2. Step 2: Convert to fraction form
    16.25/22.44 = 10.11/x
  3. Step 3: Cross multiply
    16.25x = 22.44 × 10.11
  4. Step 4: Simplify right side
    16.25x = 226.93
  5. Step 5: Solve for x
    x = 226.93/16.25
  6. Step 6: Final answer
    x = 13.96

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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.