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Finding the Fourth Proportional to 120.77, 166.73 and 95.83

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Solution

The fourth proportional to 120.77, 166.73 and 95.83 is: 132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.77 : 166.73 = 95.83 : x
  2. Step 2: Convert to fraction form
    120.77/166.73 = 95.83/x
  3. Step 3: Cross multiply
    120.77x = 166.73 × 95.83
  4. Step 4: Simplify right side
    120.77x = 15,977.56
  5. Step 5: Solve for x
    x = 15,977.56/120.77
  6. Step 6: Final answer
    x = 132.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.