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Finding the Fourth Proportional to 16.20, 22.49 and 16.02

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Solution

The fourth proportional to 16.20, 22.49 and 16.02 is: 22.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.20 : 22.49 = 16.02 : x
  2. Step 2: Convert to fraction form
    16.20/22.49 = 16.02/x
  3. Step 3: Cross multiply
    16.20x = 22.49 × 16.02
  4. Step 4: Simplify right side
    16.20x = 360.29
  5. Step 5: Solve for x
    x = 360.29/16.20
  6. Step 6: Final answer
    x = 22.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.