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Finding the Fourth Proportional to 166.73, 229.96 and 107.68

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Solution

The fourth proportional to 166.73, 229.96 and 107.68 is: 148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.73 : 229.96 = 107.68 : x
  2. Step 2: Convert to fraction form
    166.73/229.96 = 107.68/x
  3. Step 3: Cross multiply
    166.73x = 229.96 × 107.68
  4. Step 4: Simplify right side
    166.73x = 24,762.09
  5. Step 5: Solve for x
    x = 24,762.09/166.73
  6. Step 6: Final answer
    x = 148.52

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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.