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Finding the Fourth Proportional to 119.08, 178.44 and 83.17

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Solution

The fourth proportional to 119.08, 178.44 and 83.17 is: 124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.08 : 178.44 = 83.17 : x
  2. Step 2: Convert to fraction form
    119.08/178.44 = 83.17/x
  3. Step 3: Cross multiply
    119.08x = 178.44 × 83.17
  4. Step 4: Simplify right side
    119.08x = 14,840.85
  5. Step 5: Solve for x
    x = 14,840.85/119.08
  6. Step 6: Final answer
    x = 124.63

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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.