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Finding the Fourth Proportional to 119.49, 178.12 and 111.80

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Solution

The fourth proportional to 119.49, 178.12 and 111.80 is: 166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.49 : 178.12 = 111.80 : x
  2. Step 2: Convert to fraction form
    119.49/178.12 = 111.80/x
  3. Step 3: Cross multiply
    119.49x = 178.12 × 111.80
  4. Step 4: Simplify right side
    119.49x = 19,912.37
  5. Step 5: Solve for x
    x = 19,912.37/119.49
  6. Step 6: Final answer
    x = 166.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.