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Finding the Fourth Proportional to 37.78, 51.77 and 37.54

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Solution

The fourth proportional to 37.78, 51.77 and 37.54 is: 51.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.78 : 51.77 = 37.54 : x
  2. Step 2: Convert to fraction form
    37.78/51.77 = 37.54/x
  3. Step 3: Cross multiply
    37.78x = 51.77 × 37.54
  4. Step 4: Simplify right side
    37.78x = 1,943.45
  5. Step 5: Solve for x
    x = 1,943.45/37.78
  6. Step 6: Final answer
    x = 51.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.