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Finding the Fourth Proportional to 27.82, 41.64 and 24.19

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Solution

The fourth proportional to 27.82, 41.64 and 24.19 is: 36.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.82 : 41.64 = 24.19 : x
  2. Step 2: Convert to fraction form
    27.82/41.64 = 24.19/x
  3. Step 3: Cross multiply
    27.82x = 41.64 × 24.19
  4. Step 4: Simplify right side
    27.82x = 1,007.27
  5. Step 5: Solve for x
    x = 1,007.27/27.82
  6. Step 6: Final answer
    x = 36.21

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Why These Related Problems?

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