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Finding the Fourth Proportional to 144.44, 216.63 and 41.70

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Solution

The fourth proportional to 144.44, 216.63 and 41.70 is: 62.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.44 : 216.63 = 41.70 : x
  2. Step 2: Convert to fraction form
    144.44/216.63 = 41.70/x
  3. Step 3: Cross multiply
    144.44x = 216.63 × 41.70
  4. Step 4: Simplify right side
    144.44x = 9,033.92
  5. Step 5: Solve for x
    x = 9,033.92/144.44
  6. Step 6: Final answer
    x = 62.54

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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.