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Finding the Fourth Proportional to 107.92, 148.89 and 82

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Solution

The fourth proportional to 107.92, 148.89 and 82 is: 113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.92 : 148.89 = 82 : x
  2. Step 2: Convert to fraction form
    107.92/148.89 = 82/x
  3. Step 3: Cross multiply
    107.92x = 148.89 × 82
  4. Step 4: Simplify right side
    107.92x = 12,208.98
  5. Step 5: Solve for x
    x = 12,208.98/107.92
  6. Step 6: Final answer
    x = 113.13

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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.