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Finding the Fourth Proportional to 40.37, 55.38 and 36.96

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Solution

The fourth proportional to 40.37, 55.38 and 36.96 is: 50.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.37 : 55.38 = 36.96 : x
  2. Step 2: Convert to fraction form
    40.37/55.38 = 36.96/x
  3. Step 3: Cross multiply
    40.37x = 55.38 × 36.96
  4. Step 4: Simplify right side
    40.37x = 2,046.78
  5. Step 5: Solve for x
    x = 2,046.78/40.37
  6. Step 6: Final answer
    x = 50.70

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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.