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Finding the Fourth Proportional to 26.07, 38.83 and 24.70

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Solution

The fourth proportional to 26.07, 38.83 and 24.70 is: 36.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.07 : 38.83 = 24.70 : x
  2. Step 2: Convert to fraction form
    26.07/38.83 = 24.70/x
  3. Step 3: Cross multiply
    26.07x = 38.83 × 24.70
  4. Step 4: Simplify right side
    26.07x = 958.92
  5. Step 5: Solve for x
    x = 958.92/26.07
  6. Step 6: Final answer
    x = 36.78

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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.