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Finding the Fourth Proportional to 14.83, 20.41 and 13.09

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Solution

The fourth proportional to 14.83, 20.41 and 13.09 is: 18.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.83 : 20.41 = 13.09 : x
  2. Step 2: Convert to fraction form
    14.83/20.41 = 13.09/x
  3. Step 3: Cross multiply
    14.83x = 20.41 × 13.09
  4. Step 4: Simplify right side
    14.83x = 267.17
  5. Step 5: Solve for x
    x = 267.17/14.83
  6. Step 6: Final answer
    x = 18.02

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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.