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Finding the Fourth Proportional to 144.14, 216.24 and 46.66

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Solution

The fourth proportional to 144.14, 216.24 and 46.66 is: 69.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.14 : 216.24 = 46.66 : x
  2. Step 2: Convert to fraction form
    144.14/216.24 = 46.66/x
  3. Step 3: Cross multiply
    144.14x = 216.24 × 46.66
  4. Step 4: Simplify right side
    144.14x = 10,089.22
  5. Step 5: Solve for x
    x = 10,089.22/144.14
  6. Step 6: Final answer
    x = 69.99

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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.