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Finding the Fourth Proportional to 12.05, 16.63 and 9.14

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Solution

The fourth proportional to 12.05, 16.63 and 9.14 is: 12.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.05 : 16.63 = 9.14 : x
  2. Step 2: Convert to fraction form
    12.05/16.63 = 9.14/x
  3. Step 3: Cross multiply
    12.05x = 16.63 × 9.14
  4. Step 4: Simplify right side
    12.05x = 152.00
  5. Step 5: Solve for x
    x = 152.00/12.05
  6. Step 6: Final answer
    x = 12.61

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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.