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Finding the Fourth Proportional to 112.32, 167.81 and 81.90

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Solution

The fourth proportional to 112.32, 167.81 and 81.90 is: 122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.32 : 167.81 = 81.90 : x
  2. Step 2: Convert to fraction form
    112.32/167.81 = 81.90/x
  3. Step 3: Cross multiply
    112.32x = 167.81 × 81.90
  4. Step 4: Simplify right side
    112.32x = 13,743.23
  5. Step 5: Solve for x
    x = 13,743.23/112.32
  6. Step 6: Final answer
    x = 122.36

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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.