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Finding the Fourth Proportional to 166.90, 230.36 and 96.97

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Solution

The fourth proportional to 166.90, 230.36 and 96.97 is: 133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.90 : 230.36 = 96.97 : x
  2. Step 2: Convert to fraction form
    166.90/230.36 = 96.97/x
  3. Step 3: Cross multiply
    166.90x = 230.36 × 96.97
  4. Step 4: Simplify right side
    166.90x = 22,338.01
  5. Step 5: Solve for x
    x = 22,338.01/166.90
  6. Step 6: Final answer
    x = 133.84

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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.