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Finding the Fourth Proportional to 10.78, 16.14 and 8.24

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Solution

The fourth proportional to 10.78, 16.14 and 8.24 is: 12.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.78 : 16.14 = 8.24 : x
  2. Step 2: Convert to fraction form
    10.78/16.14 = 8.24/x
  3. Step 3: Cross multiply
    10.78x = 16.14 × 8.24
  4. Step 4: Simplify right side
    10.78x = 132.95
  5. Step 5: Solve for x
    x = 132.95/10.78
  6. Step 6: Final answer
    x = 12.33

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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.