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Finding the Fourth Proportional to 16.05, 22.14 and 10.22

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Solution

The fourth proportional to 16.05, 22.14 and 10.22 is: 14.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.05 : 22.14 = 10.22 : x
  2. Step 2: Convert to fraction form
    16.05/22.14 = 10.22/x
  3. Step 3: Cross multiply
    16.05x = 22.14 × 10.22
  4. Step 4: Simplify right side
    16.05x = 226.36
  5. Step 5: Solve for x
    x = 226.36/16.05
  6. Step 6: Final answer
    x = 14.10

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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.