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Finding the Fourth Proportional to 54.54, 75.24 and 42.24

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Solution

The fourth proportional to 54.54, 75.24 and 42.24 is: 58.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.54 : 75.24 = 42.24 : x
  2. Step 2: Convert to fraction form
    54.54/75.24 = 42.24/x
  3. Step 3: Cross multiply
    54.54x = 75.24 × 42.24
  4. Step 4: Simplify right side
    54.54x = 3,178.14
  5. Step 5: Solve for x
    x = 3,178.14/54.54
  6. Step 6: Final answer
    x = 58.27

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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.