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Finding the Fourth Proportional to 104.52, 144.11 and 85.77

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Solution

The fourth proportional to 104.52, 144.11 and 85.77 is: 118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.52 : 144.11 = 85.77 : x
  2. Step 2: Convert to fraction form
    104.52/144.11 = 85.77/x
  3. Step 3: Cross multiply
    104.52x = 144.11 × 85.77
  4. Step 4: Simplify right side
    104.52x = 12,359.89
  5. Step 5: Solve for x
    x = 12,359.89/104.52
  6. Step 6: Final answer
    x = 118.25

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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.