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Finding the Fourth Proportional to 112.12, 168.16 and 30.94

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Solution

The fourth proportional to 112.12, 168.16 and 30.94 is: 46.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.12 : 168.16 = 30.94 : x
  2. Step 2: Convert to fraction form
    112.12/168.16 = 30.94/x
  3. Step 3: Cross multiply
    112.12x = 168.16 × 30.94
  4. Step 4: Simplify right side
    112.12x = 5,203.29
  5. Step 5: Solve for x
    x = 5,203.29/112.12
  6. Step 6: Final answer
    x = 46.41

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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.