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Finding the Fourth Proportional to 12.38, 17.16 and 12.00

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Solution

The fourth proportional to 12.38, 17.16 and 12.00 is: 16.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.38 : 17.16 = 12.00 : x
  2. Step 2: Convert to fraction form
    12.38/17.16 = 12.00/x
  3. Step 3: Cross multiply
    12.38x = 17.16 × 12.00
  4. Step 4: Simplify right side
    12.38x = 205.91
  5. Step 5: Solve for x
    x = 205.91/12.38
  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.