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Finding the Fourth Proportional to 54.82, 75.35 and 49.24

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Solution

The fourth proportional to 54.82, 75.35 and 49.24 is: 67.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.82 : 75.35 = 49.24 : x
  2. Step 2: Convert to fraction form
    54.82/75.35 = 49.24/x
  3. Step 3: Cross multiply
    54.82x = 75.35 × 49.24
  4. Step 4: Simplify right side
    54.82x = 3,710.23
  5. Step 5: Solve for x
    x = 3,710.23/54.82
  6. Step 6: Final answer
    x = 67.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.