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Finding the Fourth Proportional to 107.12, 160.73 and 78.26

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Solution

The fourth proportional to 107.12, 160.73 and 78.26 is: 117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.12 : 160.73 = 78.26 : x
  2. Step 2: Convert to fraction form
    107.12/160.73 = 78.26/x
  3. Step 3: Cross multiply
    107.12x = 160.73 × 78.26
  4. Step 4: Simplify right side
    107.12x = 12,578.73
  5. Step 5: Solve for x
    x = 12,578.73/107.12
  6. Step 6: Final answer
    x = 117.43

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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.