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Finding the Fourth Proportional to 18.90, 28.29 and 13.82

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Solution

The fourth proportional to 18.90, 28.29 and 13.82 is: 20.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.90 : 28.29 = 13.82 : x
  2. Step 2: Convert to fraction form
    18.90/28.29 = 13.82/x
  3. Step 3: Cross multiply
    18.90x = 28.29 × 13.82
  4. Step 4: Simplify right side
    18.90x = 390.83
  5. Step 5: Solve for x
    x = 390.83/18.90
  6. Step 6: Final answer
    x = 20.68

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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.