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Finding the Fourth Proportional to 36.80, 54.81 and 36.64

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Solution

The fourth proportional to 36.80, 54.81 and 36.64 is: 54.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.80 : 54.81 = 36.64 : x
  2. Step 2: Convert to fraction form
    36.80/54.81 = 36.64/x
  3. Step 3: Cross multiply
    36.80x = 54.81 × 36.64
  4. Step 4: Simplify right side
    36.80x = 2,007.96
  5. Step 5: Solve for x
    x = 2,007.96/36.80
  6. Step 6: Final answer
    x = 54.56

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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.