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Finding the Fourth Proportional to 166.92, 230.38 and 100.54

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Solution

The fourth proportional to 166.92, 230.38 and 100.54 is: 138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.92 : 230.38 = 100.54 : x
  2. Step 2: Convert to fraction form
    166.92/230.38 = 100.54/x
  3. Step 3: Cross multiply
    166.92x = 230.38 × 100.54
  4. Step 4: Simplify right side
    166.92x = 23,162.41
  5. Step 5: Solve for x
    x = 23,162.41/166.92
  6. Step 6: Final answer
    x = 138.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.