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Finding the Fourth Proportional to 104.68, 144.49 and 67.84

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Solution

The fourth proportional to 104.68, 144.49 and 67.84 is: 93.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.68 : 144.49 = 67.84 : x
  2. Step 2: Convert to fraction form
    104.68/144.49 = 67.84/x
  3. Step 3: Cross multiply
    104.68x = 144.49 × 67.84
  4. Step 4: Simplify right side
    104.68x = 9,801.80
  5. Step 5: Solve for x
    x = 9,801.80/104.68
  6. Step 6: Final answer
    x = 93.63

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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.