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Finding the Fourth Proportional to 77.92, 106.96 and 71.36

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Solution

The fourth proportional to 77.92, 106.96 and 71.36 is: 97.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.92 : 106.96 = 71.36 : x
  2. Step 2: Convert to fraction form
    77.92/106.96 = 71.36/x
  3. Step 3: Cross multiply
    77.92x = 106.96 × 71.36
  4. Step 4: Simplify right side
    77.92x = 7,632.67
  5. Step 5: Solve for x
    x = 7,632.67/77.92
  6. Step 6: Final answer
    x = 97.96

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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.