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Finding the Fourth Proportional to 120.59, 166.34 and 76.88

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Solution

The fourth proportional to 120.59, 166.34 and 76.88 is: 106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.59 : 166.34 = 76.88 : x
  2. Step 2: Convert to fraction form
    120.59/166.34 = 76.88/x
  3. Step 3: Cross multiply
    120.59x = 166.34 × 76.88
  4. Step 4: Simplify right side
    120.59x = 12,787.00
  5. Step 5: Solve for x
    x = 12,787.00/120.59
  6. Step 6: Final answer
    x = 106.04

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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.