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Finding the Fourth Proportional to 26.79, 39.97 and 24.63

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Solution

The fourth proportional to 26.79, 39.97 and 24.63 is: 36.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.79 : 39.97 = 24.63 : x
  2. Step 2: Convert to fraction form
    26.79/39.97 = 24.63/x
  3. Step 3: Cross multiply
    26.79x = 39.97 × 24.63
  4. Step 4: Simplify right side
    26.79x = 984.46
  5. Step 5: Solve for x
    x = 984.46/26.79
  6. Step 6: Final answer
    x = 36.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.