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Finding the Fourth Proportional to 20.75, 31.11 and 9.17

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Solution

The fourth proportional to 20.75, 31.11 and 9.17 is: 13.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.75 : 31.11 = 9.17 : x
  2. Step 2: Convert to fraction form
    20.75/31.11 = 9.17/x
  3. Step 3: Cross multiply
    20.75x = 31.11 × 9.17
  4. Step 4: Simplify right side
    20.75x = 285.36
  5. Step 5: Solve for x
    x = 285.36/20.75
  6. Step 6: Final answer
    x = 13.76

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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.