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Finding the Fourth Proportional to 144.41, 216.68 and 72.23

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Solution

The fourth proportional to 144.41, 216.68 and 72.23 is: 108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.41 : 216.68 = 72.23 : x
  2. Step 2: Convert to fraction form
    144.41/216.68 = 72.23/x
  3. Step 3: Cross multiply
    144.41x = 216.68 × 72.23
  4. Step 4: Simplify right side
    144.41x = 15,650.80
  5. Step 5: Solve for x
    x = 15,650.80/144.41
  6. Step 6: Final answer
    x = 108.38

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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.