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Finding the Fourth Proportional to 52.25, 77.84 and 49.44

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Solution

The fourth proportional to 52.25, 77.84 and 49.44 is: 73.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.25 : 77.84 = 49.44 : x
  2. Step 2: Convert to fraction form
    52.25/77.84 = 49.44/x
  3. Step 3: Cross multiply
    52.25x = 77.84 × 49.44
  4. Step 4: Simplify right side
    52.25x = 3,847.84
  5. Step 5: Solve for x
    x = 3,847.84/52.25
  6. Step 6: Final answer
    x = 73.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.