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Finding the Fourth Proportional to 112.19, 167.34 and 107.33

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Solution

The fourth proportional to 112.19, 167.34 and 107.33 is: 160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.19 : 167.34 = 107.33 : x
  2. Step 2: Convert to fraction form
    112.19/167.34 = 107.33/x
  3. Step 3: Cross multiply
    112.19x = 167.34 × 107.33
  4. Step 4: Simplify right side
    112.19x = 17,959.36
  5. Step 5: Solve for x
    x = 17,959.36/112.19
  6. Step 6: Final answer
    x = 160.09

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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.