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Finding the Fourth Proportional to 119.33, 178.94 and 55.20

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Solution

The fourth proportional to 119.33, 178.94 and 55.20 is: 82.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.33 : 178.94 = 55.20 : x
  2. Step 2: Convert to fraction form
    119.33/178.94 = 55.20/x
  3. Step 3: Cross multiply
    119.33x = 178.94 × 55.20
  4. Step 4: Simplify right side
    119.33x = 9,877.21
  5. Step 5: Solve for x
    x = 9,877.21/119.33
  6. Step 6: Final answer
    x = 82.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.