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Finding the Fourth Proportional to 15.91, 23.83 and 8.17

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Solution

The fourth proportional to 15.91, 23.83 and 8.17 is: 12.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.91 : 23.83 = 8.17 : x
  2. Step 2: Convert to fraction form
    15.91/23.83 = 8.17/x
  3. Step 3: Cross multiply
    15.91x = 23.83 × 8.17
  4. Step 4: Simplify right side
    15.91x = 194.61
  5. Step 5: Solve for x
    x = 194.61/15.91
  6. Step 6: Final answer
    x = 12.23

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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.