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Finding the Fourth Proportional to 56.05, 77.25 and 37.62

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Solution

The fourth proportional to 56.05, 77.25 and 37.62 is: 51.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.05 : 77.25 = 37.62 : x
  2. Step 2: Convert to fraction form
    56.05/77.25 = 37.62/x
  3. Step 3: Cross multiply
    56.05x = 77.25 × 37.62
  4. Step 4: Simplify right side
    56.05x = 2,906.29
  5. Step 5: Solve for x
    x = 2,906.29/56.05
  6. Step 6: Final answer
    x = 51.85

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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.