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Finding the Fourth Proportional to 21.86, 30.14 and 13.23

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Solution

The fourth proportional to 21.86, 30.14 and 13.23 is: 18.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.86 : 30.14 = 13.23 : x
  2. Step 2: Convert to fraction form
    21.86/30.14 = 13.23/x
  3. Step 3: Cross multiply
    21.86x = 30.14 × 13.23
  4. Step 4: Simplify right side
    21.86x = 398.69
  5. Step 5: Solve for x
    x = 398.69/21.86
  6. Step 6: Final answer
    x = 18.24

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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.