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Finding the Fourth Proportional to 12.05, 16.57 and 9.62

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Solution

The fourth proportional to 12.05, 16.57 and 9.62 is: 13.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.05 : 16.57 = 9.62 : x
  2. Step 2: Convert to fraction form
    12.05/16.57 = 9.62/x
  3. Step 3: Cross multiply
    12.05x = 16.57 × 9.62
  4. Step 4: Simplify right side
    12.05x = 159.39
  5. Step 5: Solve for x
    x = 159.39/12.05
  6. Step 6: Final answer
    x = 13.23

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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.