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Finding the Fourth Proportional to 166.82, 230.20 and 93.14

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Solution

The fourth proportional to 166.82, 230.20 and 93.14 is: 128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.82 : 230.20 = 93.14 : x
  2. Step 2: Convert to fraction form
    166.82/230.20 = 93.14/x
  3. Step 3: Cross multiply
    166.82x = 230.20 × 93.14
  4. Step 4: Simplify right side
    166.82x = 21,440.83
  5. Step 5: Solve for x
    x = 21,440.83/166.82
  6. Step 6: Final answer
    x = 128.53

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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.