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Finding the Fourth Proportional to 144.71, 199.69 and 82.55

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Solution

The fourth proportional to 144.71, 199.69 and 82.55 is: 113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.71 : 199.69 = 82.55 : x
  2. Step 2: Convert to fraction form
    144.71/199.69 = 82.55/x
  3. Step 3: Cross multiply
    144.71x = 199.69 × 82.55
  4. Step 4: Simplify right side
    144.71x = 16,484.41
  5. Step 5: Solve for x
    x = 16,484.41/144.71
  6. Step 6: Final answer
    x = 113.91

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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.