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Finding the Fourth Proportional to 52.27, 71.71 and 50.85

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Solution

The fourth proportional to 52.27, 71.71 and 50.85 is: 69.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.27 : 71.71 = 50.85 : x
  2. Step 2: Convert to fraction form
    52.27/71.71 = 50.85/x
  3. Step 3: Cross multiply
    52.27x = 71.71 × 50.85
  4. Step 4: Simplify right side
    52.27x = 3,646.15
  5. Step 5: Solve for x
    x = 3,646.15/52.27
  6. Step 6: Final answer
    x = 69.76

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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.