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Finding the Fourth Proportional to 105.03, 144.90 and 83.16

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Solution

The fourth proportional to 105.03, 144.90 and 83.16 is: 114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.03 : 144.90 = 83.16 : x
  2. Step 2: Convert to fraction form
    105.03/144.90 = 83.16/x
  3. Step 3: Cross multiply
    105.03x = 144.90 × 83.16
  4. Step 4: Simplify right side
    105.03x = 12,049.88
  5. Step 5: Solve for x
    x = 12,049.88/105.03
  6. Step 6: Final answer
    x = 114.73

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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.