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Finding the Fourth Proportional to 144.36, 216.49 and 51.79

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Solution

The fourth proportional to 144.36, 216.49 and 51.79 is: 77.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.36 : 216.49 = 51.79 : x
  2. Step 2: Convert to fraction form
    144.36/216.49 = 51.79/x
  3. Step 3: Cross multiply
    144.36x = 216.49 × 51.79
  4. Step 4: Simplify right side
    144.36x = 11,212.02
  5. Step 5: Solve for x
    x = 11,212.02/144.36
  6. Step 6: Final answer
    x = 77.67

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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.