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Finding the Fourth Proportional to 15.92, 23.84 and 10.82

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Solution

The fourth proportional to 15.92, 23.84 and 10.82 is: 16.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.92 : 23.84 = 10.82 : x
  2. Step 2: Convert to fraction form
    15.92/23.84 = 10.82/x
  3. Step 3: Cross multiply
    15.92x = 23.84 × 10.82
  4. Step 4: Simplify right side
    15.92x = 257.95
  5. Step 5: Solve for x
    x = 257.95/15.92
  6. Step 6: Final answer
    x = 16.20

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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.