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Finding the Fourth Proportional to 144.14, 216.14 and 52.79

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Solution

The fourth proportional to 144.14, 216.14 and 52.79 is: 79.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.14 : 216.14 = 52.79 : x
  2. Step 2: Convert to fraction form
    144.14/216.14 = 52.79/x
  3. Step 3: Cross multiply
    144.14x = 216.14 × 52.79
  4. Step 4: Simplify right side
    144.14x = 11,408.69
  5. Step 5: Solve for x
    x = 11,408.69/144.14
  6. Step 6: Final answer
    x = 79.15

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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.