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Finding the Fourth Proportional to 54.98, 75.82 and 34.24

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Solution

The fourth proportional to 54.98, 75.82 and 34.24 is: 47.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.98 : 75.82 = 34.24 : x
  2. Step 2: Convert to fraction form
    54.98/75.82 = 34.24/x
  3. Step 3: Cross multiply
    54.98x = 75.82 × 34.24
  4. Step 4: Simplify right side
    54.98x = 2,596.08
  5. Step 5: Solve for x
    x = 2,596.08/54.98
  6. Step 6: Final answer
    x = 47.22

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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.