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Finding the Fourth Proportional to 27.74, 41.63 and 24.14

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Solution

The fourth proportional to 27.74, 41.63 and 24.14 is: 36.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.74 : 41.63 = 24.14 : x
  2. Step 2: Convert to fraction form
    27.74/41.63 = 24.14/x
  3. Step 3: Cross multiply
    27.74x = 41.63 × 24.14
  4. Step 4: Simplify right side
    27.74x = 1,004.95
  5. Step 5: Solve for x
    x = 1,004.95/27.74
  6. Step 6: Final answer
    x = 36.23

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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.