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Finding the Fourth Proportional to 13.83, 20.72 and 9.54

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Solution

The fourth proportional to 13.83, 20.72 and 9.54 is: 14.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.83 : 20.72 = 9.54 : x
  2. Step 2: Convert to fraction form
    13.83/20.72 = 9.54/x
  3. Step 3: Cross multiply
    13.83x = 20.72 × 9.54
  4. Step 4: Simplify right side
    13.83x = 197.66
  5. Step 5: Solve for x
    x = 197.66/13.83
  6. Step 6: Final answer
    x = 14.29

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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.