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Finding the Fourth Proportional to 104.52, 144.34 and 85

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Solution

The fourth proportional to 104.52, 144.34 and 85 is: 117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.52 : 144.34 = 85 : x
  2. Step 2: Convert to fraction form
    104.52/144.34 = 85/x
  3. Step 3: Cross multiply
    104.52x = 144.34 × 85
  4. Step 4: Simplify right side
    104.52x = 12,268.90
  5. Step 5: Solve for x
    x = 12,268.90/104.52
  6. Step 6: Final answer
    x = 117.38

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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.