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Finding the Fourth Proportional to 12.05, 17.91 and 11.58

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Solution

The fourth proportional to 12.05, 17.91 and 11.58 is: 17.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.05 : 17.91 = 11.58 : x
  2. Step 2: Convert to fraction form
    12.05/17.91 = 11.58/x
  3. Step 3: Cross multiply
    12.05x = 17.91 × 11.58
  4. Step 4: Simplify right side
    12.05x = 207.40
  5. Step 5: Solve for x
    x = 207.40/12.05
  6. Step 6: Final answer
    x = 17.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.