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Finding the Fourth Proportional to 144.62, 216.66 and 121.94

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Solution

The fourth proportional to 144.62, 216.66 and 121.94 is: 182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.62 : 216.66 = 121.94 : x
  2. Step 2: Convert to fraction form
    144.62/216.66 = 121.94/x
  3. Step 3: Cross multiply
    144.62x = 216.66 × 121.94
  4. Step 4: Simplify right side
    144.62x = 26,419.52
  5. Step 5: Solve for x
    x = 26,419.52/144.62
  6. Step 6: Final answer
    x = 182.68

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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.