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Finding the Fourth Proportional to 16.00, 22.02 and 13.82

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Solution

The fourth proportional to 16.00, 22.02 and 13.82 is: 19.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.00 : 22.02 = 13.82 : x
  2. Step 2: Convert to fraction form
    16.00/22.02 = 13.82/x
  3. Step 3: Cross multiply
    16.00x = 22.02 × 13.82
  4. Step 4: Simplify right side
    16.00x = 304.36
  5. Step 5: Solve for x
    x = 304.36/16.00
  6. Step 6: Final answer
    x = 19.03

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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.