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Finding the Fourth Proportional to 12.07, 16.74 and 12

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Solution

The fourth proportional to 12.07, 16.74 and 12 is: 16.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.07 : 16.74 = 12 : x
  2. Step 2: Convert to fraction form
    12.07/16.74 = 12/x
  3. Step 3: Cross multiply
    12.07x = 16.74 × 12
  4. Step 4: Simplify right side
    12.07x = 200.88
  5. Step 5: Solve for x
    x = 200.88/12.07
  6. Step 6: Final answer
    x = 16.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.