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Finding the Fourth Proportional to 166.70, 230.15 and 107.71

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Solution

The fourth proportional to 166.70, 230.15 and 107.71 is: 148.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.70 : 230.15 = 107.71 : x
  2. Step 2: Convert to fraction form
    166.70/230.15 = 107.71/x
  3. Step 3: Cross multiply
    166.70x = 230.15 × 107.71
  4. Step 4: Simplify right side
    166.70x = 24,789.46
  5. Step 5: Solve for x
    x = 24,789.46/166.70
  6. Step 6: Final answer
    x = 148.71

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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.