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Finding the Fourth Proportional to 52.24, 77.92 and 50.24

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Solution

The fourth proportional to 52.24, 77.92 and 50.24 is: 74.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.24 : 77.92 = 50.24 : x
  2. Step 2: Convert to fraction form
    52.24/77.92 = 50.24/x
  3. Step 3: Cross multiply
    52.24x = 77.92 × 50.24
  4. Step 4: Simplify right side
    52.24x = 3,914.70
  5. Step 5: Solve for x
    x = 3,914.70/52.24
  6. Step 6: Final answer
    x = 74.94

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