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Finding the Fourth Proportional to 104.47, 144.31 and 83.71

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Solution

The fourth proportional to 104.47, 144.31 and 83.71 is: 115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.47 : 144.31 = 83.71 : x
  2. Step 2: Convert to fraction form
    104.47/144.31 = 83.71/x
  3. Step 3: Cross multiply
    104.47x = 144.31 × 83.71
  4. Step 4: Simplify right side
    104.47x = 12,080.19
  5. Step 5: Solve for x
    x = 12,080.19/104.47
  6. Step 6: Final answer
    x = 115.63

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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.