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Finding the Fourth Proportional to 21.82, 30.10 and 16.38

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Solution

The fourth proportional to 21.82, 30.10 and 16.38 is: 22.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.82 : 30.10 = 16.38 : x
  2. Step 2: Convert to fraction form
    21.82/30.10 = 16.38/x
  3. Step 3: Cross multiply
    21.82x = 30.10 × 16.38
  4. Step 4: Simplify right side
    21.82x = 493.04
  5. Step 5: Solve for x
    x = 493.04/21.82
  6. Step 6: Final answer
    x = 22.60

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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.