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Finding the Fourth Proportional to 144.70, 199.69 and 82.53

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Solution

The fourth proportional to 144.70, 199.69 and 82.53 is: 113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.70 : 199.69 = 82.53 : x
  2. Step 2: Convert to fraction form
    144.70/199.69 = 82.53/x
  3. Step 3: Cross multiply
    144.70x = 199.69 × 82.53
  4. Step 4: Simplify right side
    144.70x = 16,479.59
  5. Step 5: Solve for x
    x = 16,479.59/144.70
  6. Step 6: Final answer
    x = 113.89

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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.