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Finding the Fourth Proportional to 43.94, 60.41 and 37.78

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Solution

The fourth proportional to 43.94, 60.41 and 37.78 is: 51.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.94 : 60.41 = 37.78 : x
  2. Step 2: Convert to fraction form
    43.94/60.41 = 37.78/x
  3. Step 3: Cross multiply
    43.94x = 60.41 × 37.78
  4. Step 4: Simplify right side
    43.94x = 2,282.29
  5. Step 5: Solve for x
    x = 2,282.29/43.94
  6. Step 6: Final answer
    x = 51.94

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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.