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Finding the Fourth Proportional to 54.57, 75.36 and 38.24

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Solution

The fourth proportional to 54.57, 75.36 and 38.24 is: 52.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.57 : 75.36 = 38.24 : x
  2. Step 2: Convert to fraction form
    54.57/75.36 = 38.24/x
  3. Step 3: Cross multiply
    54.57x = 75.36 × 38.24
  4. Step 4: Simplify right side
    54.57x = 2,881.82
  5. Step 5: Solve for x
    x = 2,881.82/54.57
  6. Step 6: Final answer
    x = 52.81

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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.