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Finding the Fourth Proportional to 67.84, 93.61 and 41.61

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Solution

The fourth proportional to 67.84, 93.61 and 41.61 is: 57.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.84 : 93.61 = 41.61 : x
  2. Step 2: Convert to fraction form
    67.84/93.61 = 41.61/x
  3. Step 3: Cross multiply
    67.84x = 93.61 × 41.61
  4. Step 4: Simplify right side
    67.84x = 3,895.11
  5. Step 5: Solve for x
    x = 3,895.11/67.84
  6. Step 6: Final answer
    x = 57.42

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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.