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Finding the Fourth Proportional to 22.02, 30.37 and 16.49

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Solution

The fourth proportional to 22.02, 30.37 and 16.49 is: 22.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.02 : 30.37 = 16.49 : x
  2. Step 2: Convert to fraction form
    22.02/30.37 = 16.49/x
  3. Step 3: Cross multiply
    22.02x = 30.37 × 16.49
  4. Step 4: Simplify right side
    22.02x = 500.80
  5. Step 5: Solve for x
    x = 500.80/22.02
  6. Step 6: Final answer
    x = 22.74

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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.