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Finding the Fourth Proportional to 37.26, 55.78 and 26.36

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Solution

The fourth proportional to 37.26, 55.78 and 26.36 is: 39.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.26 : 55.78 = 26.36 : x
  2. Step 2: Convert to fraction form
    37.26/55.78 = 26.36/x
  3. Step 3: Cross multiply
    37.26x = 55.78 × 26.36
  4. Step 4: Simplify right side
    37.26x = 1,470.36
  5. Step 5: Solve for x
    x = 1,470.36/37.26
  6. Step 6: Final answer
    x = 39.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.