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Finding the Fourth Proportional to 11.46, 17.09 and 11.12

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Solution

The fourth proportional to 11.46, 17.09 and 11.12 is: 16.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.46 : 17.09 = 11.12 : x
  2. Step 2: Convert to fraction form
    11.46/17.09 = 11.12/x
  3. Step 3: Cross multiply
    11.46x = 17.09 × 11.12
  4. Step 4: Simplify right side
    11.46x = 190.04
  5. Step 5: Solve for x
    x = 190.04/11.46
  6. Step 6: Final answer
    x = 16.58

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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.