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Finding the Fourth Proportional to 27.29, 40.92 and 11.25

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Solution

The fourth proportional to 27.29, 40.92 and 11.25 is: 16.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.29 : 40.92 = 11.25 : x
  2. Step 2: Convert to fraction form
    27.29/40.92 = 11.25/x
  3. Step 3: Cross multiply
    27.29x = 40.92 × 11.25
  4. Step 4: Simplify right side
    27.29x = 460.35
  5. Step 5: Solve for x
    x = 460.35/27.29
  6. Step 6: Final answer
    x = 16.87

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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.