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Finding the Fourth Proportional to 166.80, 230.10 and 97.76

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Solution

The fourth proportional to 166.80, 230.10 and 97.76 is: 134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.80 : 230.10 = 97.76 : x
  2. Step 2: Convert to fraction form
    166.80/230.10 = 97.76/x
  3. Step 3: Cross multiply
    166.80x = 230.10 × 97.76
  4. Step 4: Simplify right side
    166.80x = 22,494.58
  5. Step 5: Solve for x
    x = 22,494.58/166.80
  6. Step 6: Final answer
    x = 134.86

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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.