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Finding the Fourth Proportional to 11.09, 16.55 and 9.05

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Solution

The fourth proportional to 11.09, 16.55 and 9.05 is: 13.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.09 : 16.55 = 9.05 : x
  2. Step 2: Convert to fraction form
    11.09/16.55 = 9.05/x
  3. Step 3: Cross multiply
    11.09x = 16.55 × 9.05
  4. Step 4: Simplify right side
    11.09x = 149.87
  5. Step 5: Solve for x
    x = 149.87/11.09
  6. Step 6: Final answer
    x = 13.52

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