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Finding the Fourth Proportional to 105.06, 144.93 and 83.19

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Solution

The fourth proportional to 105.06, 144.93 and 83.19 is: 114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.06 : 144.93 = 83.19 : x
  2. Step 2: Convert to fraction form
    105.06/144.93 = 83.19/x
  3. Step 3: Cross multiply
    105.06x = 144.93 × 83.19
  4. Step 4: Simplify right side
    105.06x = 12,056.73
  5. Step 5: Solve for x
    x = 12,056.73/105.06
  6. Step 6: Final answer
    x = 114.76

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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.