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Finding the Fourth Proportional to 21.11, 29.12 and 13.82

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Solution

The fourth proportional to 21.11, 29.12 and 13.82 is: 19.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.11 : 29.12 = 13.82 : x
  2. Step 2: Convert to fraction form
    21.11/29.12 = 13.82/x
  3. Step 3: Cross multiply
    21.11x = 29.12 × 13.82
  4. Step 4: Simplify right side
    21.11x = 402.22
  5. Step 5: Solve for x
    x = 402.22/21.11
  6. Step 6: Final answer
    x = 19.06

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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.