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Finding the Fourth Proportional to 67.84, 93.15 and 67.57

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Solution

The fourth proportional to 67.84, 93.15 and 67.57 is: 92.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.84 : 93.15 = 67.57 : x
  2. Step 2: Convert to fraction form
    67.84/93.15 = 67.57/x
  3. Step 3: Cross multiply
    67.84x = 93.15 × 67.57
  4. Step 4: Simplify right side
    67.84x = 6,293.91
  5. Step 5: Solve for x
    x = 6,293.91/67.84
  6. Step 6: Final answer
    x = 92.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.