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Finding the Fourth Proportional to 11.67, 17.51 and 4.06

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Solution

The fourth proportional to 11.67, 17.51 and 4.06 is: 6.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.67 : 17.51 = 4.06 : x
  2. Step 2: Convert to fraction form
    11.67/17.51 = 4.06/x
  3. Step 3: Cross multiply
    11.67x = 17.51 × 4.06
  4. Step 4: Simplify right side
    11.67x = 71.09
  5. Step 5: Solve for x
    x = 71.09/11.67
  6. Step 6: Final answer
    x = 6.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.