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Finding the Fourth Proportional to 120.42, 166.15 and 83.57

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Solution

The fourth proportional to 120.42, 166.15 and 83.57 is: 115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.42 : 166.15 = 83.57 : x
  2. Step 2: Convert to fraction form
    120.42/166.15 = 83.57/x
  3. Step 3: Cross multiply
    120.42x = 166.15 × 83.57
  4. Step 4: Simplify right side
    120.42x = 13,884.43
  5. Step 5: Solve for x
    x = 13,884.43/120.42
  6. Step 6: Final answer
    x = 115.30

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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.