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Finding the Fourth Proportional to 119.82, 178.96 and 104.28

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Solution

The fourth proportional to 119.82, 178.96 and 104.28 is: 155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.82 : 178.96 = 104.28 : x
  2. Step 2: Convert to fraction form
    119.82/178.96 = 104.28/x
  3. Step 3: Cross multiply
    119.82x = 178.96 × 104.28
  4. Step 4: Simplify right side
    119.82x = 18,661.95
  5. Step 5: Solve for x
    x = 18,661.95/119.82
  6. Step 6: Final answer
    x = 155.75

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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.