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Finding the Fourth Proportional to 120.52, 166.24 and 92.84

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Solution

The fourth proportional to 120.52, 166.24 and 92.84 is: 128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.52 : 166.24 = 92.84 : x
  2. Step 2: Convert to fraction form
    120.52/166.24 = 92.84/x
  3. Step 3: Cross multiply
    120.52x = 166.24 × 92.84
  4. Step 4: Simplify right side
    120.52x = 15,433.72
  5. Step 5: Solve for x
    x = 15,433.72/120.52
  6. Step 6: Final answer
    x = 128.06

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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.