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Finding the Fourth Proportional to 16.09, 22.20 and 13.02

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Solution

The fourth proportional to 16.09, 22.20 and 13.02 is: 17.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.09 : 22.20 = 13.02 : x
  2. Step 2: Convert to fraction form
    16.09/22.20 = 13.02/x
  3. Step 3: Cross multiply
    16.09x = 22.20 × 13.02
  4. Step 4: Simplify right side
    16.09x = 288.97
  5. Step 5: Solve for x
    x = 288.97/16.09
  6. Step 6: Final answer
    x = 17.96

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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.