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Finding the Fourth Proportional to 166.69, 230.07 and 96.76

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Solution

The fourth proportional to 166.69, 230.07 and 96.76 is: 133.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.69 : 230.07 = 96.76 : x
  2. Step 2: Convert to fraction form
    166.69/230.07 = 96.76/x
  3. Step 3: Cross multiply
    166.69x = 230.07 × 96.76
  4. Step 4: Simplify right side
    166.69x = 22,262.22
  5. Step 5: Solve for x
    x = 22,262.22/166.69
  6. Step 6: Final answer
    x = 133.55

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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.