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Finding the Fourth Proportional to 144.89, 199.94 and 78.50

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Solution

The fourth proportional to 144.89, 199.94 and 78.50 is: 108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.89 : 199.94 = 78.50 : x
  2. Step 2: Convert to fraction form
    144.89/199.94 = 78.50/x
  3. Step 3: Cross multiply
    144.89x = 199.94 × 78.50
  4. Step 4: Simplify right side
    144.89x = 15,694.75
  5. Step 5: Solve for x
    x = 15,694.75/144.89
  6. Step 6: Final answer
    x = 108.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.