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Finding the Fourth Proportional to 56.22, 77.54 and 36.78

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Solution

The fourth proportional to 56.22, 77.54 and 36.78 is: 50.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.22 : 77.54 = 36.78 : x
  2. Step 2: Convert to fraction form
    56.22/77.54 = 36.78/x
  3. Step 3: Cross multiply
    56.22x = 77.54 × 36.78
  4. Step 4: Simplify right side
    56.22x = 2,851.92
  5. Step 5: Solve for x
    x = 2,851.92/56.22
  6. Step 6: Final answer
    x = 50.73

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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.