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Finding the Fourth Proportional to 26.27, 39.36 and 24.14

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Solution

The fourth proportional to 26.27, 39.36 and 24.14 is: 36.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.27 : 39.36 = 24.14 : x
  2. Step 2: Convert to fraction form
    26.27/39.36 = 24.14/x
  3. Step 3: Cross multiply
    26.27x = 39.36 × 24.14
  4. Step 4: Simplify right side
    26.27x = 949.95
  5. Step 5: Solve for x
    x = 949.95/26.27
  6. Step 6: Final answer
    x = 36.17

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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.