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Finding the Fourth Proportional to 144.74, 216.78 and 76.09

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Solution

The fourth proportional to 144.74, 216.78 and 76.09 is: 113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.74 : 216.78 = 76.09 : x
  2. Step 2: Convert to fraction form
    144.74/216.78 = 76.09/x
  3. Step 3: Cross multiply
    144.74x = 216.78 × 76.09
  4. Step 4: Simplify right side
    144.74x = 16,494.37
  5. Step 5: Solve for x
    x = 16,494.37/144.74
  6. Step 6: Final answer
    x = 113.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.