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Finding the Fourth Proportional to 120.49, 166.31 and 76.89

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Solution

The fourth proportional to 120.49, 166.31 and 76.89 is: 106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.49 : 166.31 = 76.89 : x
  2. Step 2: Convert to fraction form
    120.49/166.31 = 76.89/x
  3. Step 3: Cross multiply
    120.49x = 166.31 × 76.89
  4. Step 4: Simplify right side
    120.49x = 12,787.58
  5. Step 5: Solve for x
    x = 12,787.58/120.49
  6. Step 6: Final answer
    x = 106.13

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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.