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Finding the Fourth Proportional to 26.74, 37.07 and 25.37

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Solution

The fourth proportional to 26.74, 37.07 and 25.37 is: 35.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.74 : 37.07 = 25.37 : x
  2. Step 2: Convert to fraction form
    26.74/37.07 = 25.37/x
  3. Step 3: Cross multiply
    26.74x = 37.07 × 25.37
  4. Step 4: Simplify right side
    26.74x = 940.53
  5. Step 5: Solve for x
    x = 940.53/26.74
  6. Step 6: Final answer
    x = 35.17

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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.