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Finding the Fourth Proportional to 36.77, 54.83 and 31.38

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Solution

The fourth proportional to 36.77, 54.83 and 31.38 is: 46.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.77 : 54.83 = 31.38 : x
  2. Step 2: Convert to fraction form
    36.77/54.83 = 31.38/x
  3. Step 3: Cross multiply
    36.77x = 54.83 × 31.38
  4. Step 4: Simplify right side
    36.77x = 1,720.70
  5. Step 5: Solve for x
    x = 1,720.70/36.77
  6. Step 6: Final answer
    x = 46.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.