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Finding the Fourth Proportional to 104.92, 144.75 and 84.25

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Solution

The fourth proportional to 104.92, 144.75 and 84.25 is: 116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.92 : 144.75 = 84.25 : x
  2. Step 2: Convert to fraction form
    104.92/144.75 = 84.25/x
  3. Step 3: Cross multiply
    104.92x = 144.75 × 84.25
  4. Step 4: Simplify right side
    104.92x = 12,194.46
  5. Step 5: Solve for x
    x = 12,194.46/104.92
  6. Step 6: Final answer
    x = 116.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.