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Finding the Fourth Proportional to 166.60, 230.04 and 107.69

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Solution

The fourth proportional to 166.60, 230.04 and 107.69 is: 148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.60 : 230.04 = 107.69 : x
  2. Step 2: Convert to fraction form
    166.60/230.04 = 107.69/x
  3. Step 3: Cross multiply
    166.60x = 230.04 × 107.69
  4. Step 4: Simplify right side
    166.60x = 24,773.15
  5. Step 5: Solve for x
    x = 24,773.15/166.60
  6. Step 6: Final answer
    x = 148.70

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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.