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Finding the Fourth Proportional to 27.11, 37.29 and 21.64

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Solution

The fourth proportional to 27.11, 37.29 and 21.64 is: 29.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.11 : 37.29 = 21.64 : x
  2. Step 2: Convert to fraction form
    27.11/37.29 = 21.64/x
  3. Step 3: Cross multiply
    27.11x = 37.29 × 21.64
  4. Step 4: Simplify right side
    27.11x = 806.94
  5. Step 5: Solve for x
    x = 806.94/27.11
  6. Step 6: Final answer
    x = 29.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.