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Finding the Fourth Proportional to 119.66, 180.38 and 113.69

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Solution

The fourth proportional to 119.66, 180.38 and 113.69 is: 171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.66 : 180.38 = 113.69 : x
  2. Step 2: Convert to fraction form
    119.66/180.38 = 113.69/x
  3. Step 3: Cross multiply
    119.66x = 180.38 × 113.69
  4. Step 4: Simplify right side
    119.66x = 20,505.93
  5. Step 5: Solve for x
    x = 20,505.93/119.66
  6. Step 6: Final answer
    x = 171.38

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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.