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Finding the Fourth Proportional to 107.92, 160.79 and 105.49

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Solution

The fourth proportional to 107.92, 160.79 and 105.49 is: 157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.92 : 160.79 = 105.49 : x
  2. Step 2: Convert to fraction form
    107.92/160.79 = 105.49/x
  3. Step 3: Cross multiply
    107.92x = 160.79 × 105.49
  4. Step 4: Simplify right side
    107.92x = 16,961.74
  5. Step 5: Solve for x
    x = 16,961.74/107.92
  6. Step 6: Final answer
    x = 157.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.