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Finding the Fourth Proportional to 27.25, 40.89 and 11.22

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Solution

The fourth proportional to 27.25, 40.89 and 11.22 is: 16.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.25 : 40.89 = 11.22 : x
  2. Step 2: Convert to fraction form
    27.25/40.89 = 11.22/x
  3. Step 3: Cross multiply
    27.25x = 40.89 × 11.22
  4. Step 4: Simplify right side
    27.25x = 458.79
  5. Step 5: Solve for x
    x = 458.79/27.25
  6. Step 6: Final answer
    x = 16.84

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