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Finding the Fourth Proportional to 59.28, 81.80 and 50.57

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Solution

The fourth proportional to 59.28, 81.80 and 50.57 is: 69.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.28 : 81.80 = 50.57 : x
  2. Step 2: Convert to fraction form
    59.28/81.80 = 50.57/x
  3. Step 3: Cross multiply
    59.28x = 81.80 × 50.57
  4. Step 4: Simplify right side
    59.28x = 4,136.37
  5. Step 5: Solve for x
    x = 4,136.37/59.28
  6. Step 6: Final answer
    x = 69.78

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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.