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Finding the Fourth Proportional to 120.83, 166.32 and 102.06

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Solution

The fourth proportional to 120.83, 166.32 and 102.06 is: 140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.83 : 166.32 = 102.06 : x
  2. Step 2: Convert to fraction form
    120.83/166.32 = 102.06/x
  3. Step 3: Cross multiply
    120.83x = 166.32 × 102.06
  4. Step 4: Simplify right side
    120.83x = 16,974.62
  5. Step 5: Solve for x
    x = 16,974.62/120.83
  6. Step 6: Final answer
    x = 140.49

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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.