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Finding the Fourth Proportional to 27.48, 41.26 and 21.83

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Solution

The fourth proportional to 27.48, 41.26 and 21.83 is: 32.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.48 : 41.26 = 21.83 : x
  2. Step 2: Convert to fraction form
    27.48/41.26 = 21.83/x
  3. Step 3: Cross multiply
    27.48x = 41.26 × 21.83
  4. Step 4: Simplify right side
    27.48x = 900.44
  5. Step 5: Solve for x
    x = 900.44/27.48
  6. Step 6: Final answer
    x = 32.77

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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.