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Finding the Fourth Proportional to 107.24, 160.96 and 76.72

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Solution

The fourth proportional to 107.24, 160.96 and 76.72 is: 115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.24 : 160.96 = 76.72 : x
  2. Step 2: Convert to fraction form
    107.24/160.96 = 76.72/x
  3. Step 3: Cross multiply
    107.24x = 160.96 × 76.72
  4. Step 4: Simplify right side
    107.24x = 12,348.85
  5. Step 5: Solve for x
    x = 12,348.85/107.24
  6. Step 6: Final answer
    x = 115.15

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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.