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Finding the Fourth Proportional to 120.17, 166.56 and 118.22

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Solution

The fourth proportional to 120.17, 166.56 and 118.22 is: 163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.17 : 166.56 = 118.22 : x
  2. Step 2: Convert to fraction form
    120.17/166.56 = 118.22/x
  3. Step 3: Cross multiply
    120.17x = 166.56 × 118.22
  4. Step 4: Simplify right side
    120.17x = 19,690.11
  5. Step 5: Solve for x
    x = 19,690.11/120.17
  6. Step 6: Final answer
    x = 163.85

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.