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Finding the Fourth Proportional to 144.75, 216.83 and 76.16

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Solution

The fourth proportional to 144.75, 216.83 and 76.16 is: 114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.75 : 216.83 = 76.16 : x
  2. Step 2: Convert to fraction form
    144.75/216.83 = 76.16/x
  3. Step 3: Cross multiply
    144.75x = 216.83 × 76.16
  4. Step 4: Simplify right side
    144.75x = 16,512.31
  5. Step 5: Solve for x
    x = 16,512.31/144.75
  6. Step 6: Final answer
    x = 114.07

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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.