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Finding the Fourth Proportional to 104.76, 144.09 and 89.24

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Solution

The fourth proportional to 104.76, 144.09 and 89.24 is: 122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.76 : 144.09 = 89.24 : x
  2. Step 2: Convert to fraction form
    104.76/144.09 = 89.24/x
  3. Step 3: Cross multiply
    104.76x = 144.09 × 89.24
  4. Step 4: Simplify right side
    104.76x = 12,857.87
  5. Step 5: Solve for x
    x = 12,857.87/104.76
  6. Step 6: Final answer
    x = 122.74

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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.