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Finding the Fourth Proportional to 42.11, 63.14 and 13.21

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Solution

The fourth proportional to 42.11, 63.14 and 13.21 is: 19.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.11 : 63.14 = 13.21 : x
  2. Step 2: Convert to fraction form
    42.11/63.14 = 13.21/x
  3. Step 3: Cross multiply
    42.11x = 63.14 × 13.21
  4. Step 4: Simplify right side
    42.11x = 834.43
  5. Step 5: Solve for x
    x = 834.43/42.11
  6. Step 6: Final answer
    x = 19.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.