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Finding the Fourth Proportional to 54.57, 75.36 and 36.15

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Solution

The fourth proportional to 54.57, 75.36 and 36.15 is: 49.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.57 : 75.36 = 36.15 : x
  2. Step 2: Convert to fraction form
    54.57/75.36 = 36.15/x
  3. Step 3: Cross multiply
    54.57x = 75.36 × 36.15
  4. Step 4: Simplify right side
    54.57x = 2,723.98
  5. Step 5: Solve for x
    x = 2,723.98/54.57
  6. Step 6: Final answer
    x = 49.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.