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Finding the Fourth Proportional to 16.00, 22.07 and 9.86

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Solution

The fourth proportional to 16.00, 22.07 and 9.86 is: 13.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.00 : 22.07 = 9.86 : x
  2. Step 2: Convert to fraction form
    16.00/22.07 = 9.86/x
  3. Step 3: Cross multiply
    16.00x = 22.07 × 9.86
  4. Step 4: Simplify right side
    16.00x = 217.69
  5. Step 5: Solve for x
    x = 217.69/16.00
  6. Step 6: Final answer
    x = 13.61

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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.