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Finding the Fourth Proportional to 105.20, 144.40 and 93.29

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Solution

The fourth proportional to 105.20, 144.40 and 93.29 is: 128.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.20 : 144.40 = 93.29 : x
  2. Step 2: Convert to fraction form
    105.20/144.40 = 93.29/x
  3. Step 3: Cross multiply
    105.20x = 144.40 × 93.29
  4. Step 4: Simplify right side
    105.20x = 13,470.30
  5. Step 5: Solve for x
    x = 13,470.30/105.20
  6. Step 6: Final answer
    x = 128.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.