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Finding the Fourth Proportional to 112.63, 167.67 and 107.65

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Solution

The fourth proportional to 112.63, 167.67 and 107.65 is: 160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.63 : 167.67 = 107.65 : x
  2. Step 2: Convert to fraction form
    112.63/167.67 = 107.65/x
  3. Step 3: Cross multiply
    112.63x = 167.67 × 107.65
  4. Step 4: Simplify right side
    112.63x = 18,049.68
  5. Step 5: Solve for x
    x = 18,049.68/112.63
  6. Step 6: Final answer
    x = 160.26

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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.