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Finding the Fourth Proportional to 73.84, 111.34 and 67.84

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Solution

The fourth proportional to 73.84, 111.34 and 67.84 is: 102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.84 : 111.34 = 67.84 : x
  2. Step 2: Convert to fraction form
    73.84/111.34 = 67.84/x
  3. Step 3: Cross multiply
    73.84x = 111.34 × 67.84
  4. Step 4: Simplify right side
    73.84x = 7,553.31
  5. Step 5: Solve for x
    x = 7,553.31/73.84
  6. Step 6: Final answer
    x = 102.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.