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Finding the Fourth Proportional to 166.96, 230.42 and 93.28

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Solution

The fourth proportional to 166.96, 230.42 and 93.28 is: 128.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.96 : 230.42 = 93.28 : x
  2. Step 2: Convert to fraction form
    166.96/230.42 = 93.28/x
  3. Step 3: Cross multiply
    166.96x = 230.42 × 93.28
  4. Step 4: Simplify right side
    166.96x = 21,493.14
  5. Step 5: Solve for x
    x = 21,493.14/166.96
  6. Step 6: Final answer
    x = 128.73

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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.