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Finding the Fourth Proportional to 11.09, 16.53 and 10.96

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Solution

The fourth proportional to 11.09, 16.53 and 10.96 is: 16.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.09 : 16.53 = 10.96 : x
  2. Step 2: Convert to fraction form
    11.09/16.53 = 10.96/x
  3. Step 3: Cross multiply
    11.09x = 16.53 × 10.96
  4. Step 4: Simplify right side
    11.09x = 181.09
  5. Step 5: Solve for x
    x = 181.09/11.09
  6. Step 6: Final answer
    x = 16.33

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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.