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Finding the Fourth Proportional to 119.85, 180.69 and 108.11

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Solution

The fourth proportional to 119.85, 180.69 and 108.11 is: 162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.85 : 180.69 = 108.11 : x
  2. Step 2: Convert to fraction form
    119.85/180.69 = 108.11/x
  3. Step 3: Cross multiply
    119.85x = 180.69 × 108.11
  4. Step 4: Simplify right side
    119.85x = 19,533.49
  5. Step 5: Solve for x
    x = 19,533.49/119.85
  6. Step 6: Final answer
    x = 162.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.