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Finding the Fourth Proportional to 144.59, 217.79 and 121.70

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Solution

The fourth proportional to 144.59, 217.79 and 121.70 is: 183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.59 : 217.79 = 121.70 : x
  2. Step 2: Convert to fraction form
    144.59/217.79 = 121.70/x
  3. Step 3: Cross multiply
    144.59x = 217.79 × 121.70
  4. Step 4: Simplify right side
    144.59x = 26,505.44
  5. Step 5: Solve for x
    x = 26,505.44/144.59
  6. Step 6: Final answer
    x = 183.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.