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Finding the Fourth Proportional to 13.82, 20.72 and 5.80

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Solution

The fourth proportional to 13.82, 20.72 and 5.80 is: 8.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.82 : 20.72 = 5.80 : x
  2. Step 2: Convert to fraction form
    13.82/20.72 = 5.80/x
  3. Step 3: Cross multiply
    13.82x = 20.72 × 5.80
  4. Step 4: Simplify right side
    13.82x = 120.22
  5. Step 5: Solve for x
    x = 120.22/13.82
  6. Step 6: Final answer
    x = 8.70

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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.