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Finding the Fourth Proportional to 21.98, 30.33 and 16.16

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Solution

The fourth proportional to 21.98, 30.33 and 16.16 is: 22.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.98 : 30.33 = 16.16 : x
  2. Step 2: Convert to fraction form
    21.98/30.33 = 16.16/x
  3. Step 3: Cross multiply
    21.98x = 30.33 × 16.16
  4. Step 4: Simplify right side
    21.98x = 490.13
  5. Step 5: Solve for x
    x = 490.13/21.98
  6. Step 6: Final answer
    x = 22.30

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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.