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Finding the Fourth Proportional to 144.50, 216.60 and 75.94

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Solution

The fourth proportional to 144.50, 216.60 and 75.94 is: 113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.50 : 216.60 = 75.94 : x
  2. Step 2: Convert to fraction form
    144.50/216.60 = 75.94/x
  3. Step 3: Cross multiply
    144.50x = 216.60 × 75.94
  4. Step 4: Simplify right side
    144.50x = 16,448.60
  5. Step 5: Solve for x
    x = 16,448.60/144.50
  6. Step 6: Final answer
    x = 113.83

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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.