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Finding the Fourth Proportional to 12.34, 17.06 and 11.80

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Solution

The fourth proportional to 12.34, 17.06 and 11.80 is: 16.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.34 : 17.06 = 11.80 : x
  2. Step 2: Convert to fraction form
    12.34/17.06 = 11.80/x
  3. Step 3: Cross multiply
    12.34x = 17.06 × 11.80
  4. Step 4: Simplify right side
    12.34x = 201.35
  5. Step 5: Solve for x
    x = 201.35/12.34
  6. Step 6: Final answer
    x = 16.32

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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.