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Finding the Fourth Proportional to 9.92, 14.82 and 8.14

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Solution

The fourth proportional to 9.92, 14.82 and 8.14 is: 12.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.92 : 14.82 = 8.14 : x
  2. Step 2: Convert to fraction form
    9.92/14.82 = 8.14/x
  3. Step 3: Cross multiply
    9.92x = 14.82 × 8.14
  4. Step 4: Simplify right side
    9.92x = 120.63
  5. Step 5: Solve for x
    x = 120.63/9.92
  6. Step 6: Final answer
    x = 12.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.