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Finding the Fourth Proportional to 105.20, 144.84 and 99.80

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Solution

The fourth proportional to 105.20, 144.84 and 99.80 is: 137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.20 : 144.84 = 99.80 : x
  2. Step 2: Convert to fraction form
    105.20/144.84 = 99.80/x
  3. Step 3: Cross multiply
    105.20x = 144.84 × 99.80
  4. Step 4: Simplify right side
    105.20x = 14,455.03
  5. Step 5: Solve for x
    x = 14,455.03/105.20
  6. Step 6: Final answer
    x = 137.41

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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.