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Finding the Fourth Proportional to 107.76, 160.37 and 103.92

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Solution

The fourth proportional to 107.76, 160.37 and 103.92 is: 154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.76 : 160.37 = 103.92 : x
  2. Step 2: Convert to fraction form
    107.76/160.37 = 103.92/x
  3. Step 3: Cross multiply
    107.76x = 160.37 × 103.92
  4. Step 4: Simplify right side
    107.76x = 16,665.65
  5. Step 5: Solve for x
    x = 16,665.65/107.76
  6. Step 6: Final answer
    x = 154.66

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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.