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Finding the Fourth Proportional to 59.49, 82.05 and 50.27

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Solution

The fourth proportional to 59.49, 82.05 and 50.27 is: 69.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.49 : 82.05 = 50.27 : x
  2. Step 2: Convert to fraction form
    59.49/82.05 = 50.27/x
  3. Step 3: Cross multiply
    59.49x = 82.05 × 50.27
  4. Step 4: Simplify right side
    59.49x = 4,124.24
  5. Step 5: Solve for x
    x = 4,124.24/59.49
  6. Step 6: Final answer
    x = 69.33

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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.