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Finding the Fourth Proportional to 120.34, 166.17 and 83.62

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Solution

The fourth proportional to 120.34, 166.17 and 83.62 is: 115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.34 : 166.17 = 83.62 : x
  2. Step 2: Convert to fraction form
    120.34/166.17 = 83.62/x
  3. Step 3: Cross multiply
    120.34x = 166.17 × 83.62
  4. Step 4: Simplify right side
    120.34x = 13,895.14
  5. Step 5: Solve for x
    x = 13,895.14/120.34
  6. Step 6: Final answer
    x = 115.47

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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.