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Finding the Fourth Proportional to 144.69, 199.69 and 82.54

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Solution

The fourth proportional to 144.69, 199.69 and 82.54 is: 113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.69 : 199.69 = 82.54 : x
  2. Step 2: Convert to fraction form
    144.69/199.69 = 82.54/x
  3. Step 3: Cross multiply
    144.69x = 199.69 × 82.54
  4. Step 4: Simplify right side
    144.69x = 16,483.25
  5. Step 5: Solve for x
    x = 16,483.25/144.69
  6. Step 6: Final answer
    x = 113.92

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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.