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Finding the Fourth Proportional to 56.26, 84.28 and 25.78

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Solution

The fourth proportional to 56.26, 84.28 and 25.78 is: 38.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.26 : 84.28 = 25.78 : x
  2. Step 2: Convert to fraction form
    56.26/84.28 = 25.78/x
  3. Step 3: Cross multiply
    56.26x = 84.28 × 25.78
  4. Step 4: Simplify right side
    56.26x = 2,172.74
  5. Step 5: Solve for x
    x = 2,172.74/56.26
  6. Step 6: Final answer
    x = 38.62

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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.