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Finding the Fourth Proportional to 120.86, 166.96 and 104.46

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Solution

The fourth proportional to 120.86, 166.96 and 104.46 is: 144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.86 : 166.96 = 104.46 : x
  2. Step 2: Convert to fraction form
    120.86/166.96 = 104.46/x
  3. Step 3: Cross multiply
    120.86x = 166.96 × 104.46
  4. Step 4: Simplify right side
    120.86x = 17,440.64
  5. Step 5: Solve for x
    x = 17,440.64/120.86
  6. Step 6: Final answer
    x = 144.30

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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.