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Finding the Fourth Proportional to 107.38, 160.87 and 70.73

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Solution

The fourth proportional to 107.38, 160.87 and 70.73 is: 105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.38 : 160.87 = 70.73 : x
  2. Step 2: Convert to fraction form
    107.38/160.87 = 70.73/x
  3. Step 3: Cross multiply
    107.38x = 160.87 × 70.73
  4. Step 4: Simplify right side
    107.38x = 11,378.34
  5. Step 5: Solve for x
    x = 11,378.34/107.38
  6. Step 6: Final answer
    x = 105.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.