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Finding the Fourth Proportional to 14.50, 20.00 and 8.27

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Solution

The fourth proportional to 14.50, 20.00 and 8.27 is: 11.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.50 : 20.00 = 8.27 : x
  2. Step 2: Convert to fraction form
    14.50/20.00 = 8.27/x
  3. Step 3: Cross multiply
    14.50x = 20.00 × 8.27
  4. Step 4: Simplify right side
    14.50x = 165.47
  5. Step 5: Solve for x
    x = 165.47/14.50
  6. Step 6: Final answer
    x = 11.41

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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.