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Finding the Fourth Proportional to 59.92, 82.86 and 50.86

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Solution

The fourth proportional to 59.92, 82.86 and 50.86 is: 70.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.92 : 82.86 = 50.86 : x
  2. Step 2: Convert to fraction form
    59.92/82.86 = 50.86/x
  3. Step 3: Cross multiply
    59.92x = 82.86 × 50.86
  4. Step 4: Simplify right side
    59.92x = 4,214.26
  5. Step 5: Solve for x
    x = 4,214.26/59.92
  6. Step 6: Final answer
    x = 70.33

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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.