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Finding the Fourth Proportional to 11.77, 16.23 and 8.14

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Solution

The fourth proportional to 11.77, 16.23 and 8.14 is: 11.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.77 : 16.23 = 8.14 : x
  2. Step 2: Convert to fraction form
    11.77/16.23 = 8.14/x
  3. Step 3: Cross multiply
    11.77x = 16.23 × 8.14
  4. Step 4: Simplify right side
    11.77x = 132.11
  5. Step 5: Solve for x
    x = 132.11/11.77
  6. Step 6: Final answer
    x = 11.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.