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Finding the Fourth Proportional to 35.57, 49.07 and 26.39

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Solution

The fourth proportional to 35.57, 49.07 and 26.39 is: 36.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.57 : 49.07 = 26.39 : x
  2. Step 2: Convert to fraction form
    35.57/49.07 = 26.39/x
  3. Step 3: Cross multiply
    35.57x = 49.07 × 26.39
  4. Step 4: Simplify right side
    35.57x = 1,295.15
  5. Step 5: Solve for x
    x = 1,295.15/35.57
  6. Step 6: Final answer
    x = 36.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.