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Finding the Fourth Proportional to 12.05, 16.51 and 12.03

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Solution

The fourth proportional to 12.05, 16.51 and 12.03 is: 16.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.05 : 16.51 = 12.03 : x
  2. Step 2: Convert to fraction form
    12.05/16.51 = 12.03/x
  3. Step 3: Cross multiply
    12.05x = 16.51 × 12.03
  4. Step 4: Simplify right side
    12.05x = 198.59
  5. Step 5: Solve for x
    x = 198.59/12.05
  6. Step 6: Final answer
    x = 16.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.