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Finding the Fourth Proportional to 104.76, 144.75 and 83.10

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Solution

The fourth proportional to 104.76, 144.75 and 83.10 is: 114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.76 : 144.75 = 83.10 : x
  2. Step 2: Convert to fraction form
    104.76/144.75 = 83.10/x
  3. Step 3: Cross multiply
    104.76x = 144.75 × 83.10
  4. Step 4: Simplify right side
    104.76x = 12,028.73
  5. Step 5: Solve for x
    x = 12,028.73/104.76
  6. Step 6: Final answer
    x = 114.82

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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.