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Finding the Fourth Proportional to 26.24, 36.38 and 24.70

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Solution

The fourth proportional to 26.24, 36.38 and 24.70 is: 34.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.24 : 36.38 = 24.70 : x
  2. Step 2: Convert to fraction form
    26.24/36.38 = 24.70/x
  3. Step 3: Cross multiply
    26.24x = 36.38 × 24.70
  4. Step 4: Simplify right side
    26.24x = 898.59
  5. Step 5: Solve for x
    x = 898.59/26.24
  6. Step 6: Final answer
    x = 34.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.