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Finding the Fourth Proportional to 119.28, 178.94 and 42.22

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Solution

The fourth proportional to 119.28, 178.94 and 42.22 is: 63.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.28 : 178.94 = 42.22 : x
  2. Step 2: Convert to fraction form
    119.28/178.94 = 42.22/x
  3. Step 3: Cross multiply
    119.28x = 178.94 × 42.22
  4. Step 4: Simplify right side
    119.28x = 7,553.74
  5. Step 5: Solve for x
    x = 7,553.74/119.28
  6. Step 6: Final answer
    x = 63.33

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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.