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Finding the Fourth Proportional to 11.34, 16.91 and 11.24

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Solution

The fourth proportional to 11.34, 16.91 and 11.24 is: 16.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.34 : 16.91 = 11.24 : x
  2. Step 2: Convert to fraction form
    11.34/16.91 = 11.24/x
  3. Step 3: Cross multiply
    11.34x = 16.91 × 11.24
  4. Step 4: Simplify right side
    11.34x = 189.93
  5. Step 5: Solve for x
    x = 189.93/11.34
  6. Step 6: Final answer
    x = 16.75

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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.