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Finding the Fourth Proportional to 144.12, 216.33 and 105.44

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Solution

The fourth proportional to 144.12, 216.33 and 105.44 is: 158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.12 : 216.33 = 105.44 : x
  2. Step 2: Convert to fraction form
    144.12/216.33 = 105.44/x
  3. Step 3: Cross multiply
    144.12x = 216.33 × 105.44
  4. Step 4: Simplify right side
    144.12x = 22,810.38
  5. Step 5: Solve for x
    x = 22,810.38/144.12
  6. Step 6: Final answer
    x = 158.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.