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Finding the Fourth Proportional to 144.44, 216.53 and 83.62

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Solution

The fourth proportional to 144.44, 216.53 and 83.62 is: 125.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.44 : 216.53 = 83.62 : x
  2. Step 2: Convert to fraction form
    144.44/216.53 = 83.62/x
  3. Step 3: Cross multiply
    144.44x = 216.53 × 83.62
  4. Step 4: Simplify right side
    144.44x = 18,104.74
  5. Step 5: Solve for x
    x = 18,104.74/144.44
  6. Step 6: Final answer
    x = 125.35

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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.