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Finding the Fourth Proportional to 119.78, 178.65 and 104.44

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Solution

The fourth proportional to 119.78, 178.65 and 104.44 is: 155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.78 : 178.65 = 104.44 : x
  2. Step 2: Convert to fraction form
    119.78/178.65 = 104.44/x
  3. Step 3: Cross multiply
    119.78x = 178.65 × 104.44
  4. Step 4: Simplify right side
    119.78x = 18,658.21
  5. Step 5: Solve for x
    x = 18,658.21/119.78
  6. Step 6: Final answer
    x = 155.77

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