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Finding the Fourth Proportional to 14.23, 21.22 and 13.41

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Solution

The fourth proportional to 14.23, 21.22 and 13.41 is: 20.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.23 : 21.22 = 13.41 : x
  2. Step 2: Convert to fraction form
    14.23/21.22 = 13.41/x
  3. Step 3: Cross multiply
    14.23x = 21.22 × 13.41
  4. Step 4: Simplify right side
    14.23x = 284.56
  5. Step 5: Solve for x
    x = 284.56/14.23
  6. Step 6: Final answer
    x = 20.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.