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Finding the Fourth Proportional to 112.92, 169.46 and 43.57

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Solution

The fourth proportional to 112.92, 169.46 and 43.57 is: 65.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.92 : 169.46 = 43.57 : x
  2. Step 2: Convert to fraction form
    112.92/169.46 = 43.57/x
  3. Step 3: Cross multiply
    112.92x = 169.46 × 43.57
  4. Step 4: Simplify right side
    112.92x = 7,383.37
  5. Step 5: Solve for x
    x = 7,383.37/112.92
  6. Step 6: Final answer
    x = 65.39

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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.