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Finding the Fourth Proportional to 96.41, 144.70 and 50.79

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Solution

The fourth proportional to 96.41, 144.70 and 50.79 is: 76.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.41 : 144.70 = 50.79 : x
  2. Step 2: Convert to fraction form
    96.41/144.70 = 50.79/x
  3. Step 3: Cross multiply
    96.41x = 144.70 × 50.79
  4. Step 4: Simplify right side
    96.41x = 7,349.73
  5. Step 5: Solve for x
    x = 7,349.73/96.41
  6. Step 6: Final answer
    x = 76.23

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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.