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Finding the Fourth Proportional to 67.82, 93.50 and 43.22

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Solution

The fourth proportional to 67.82, 93.50 and 43.22 is: 59.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.82 : 93.50 = 43.22 : x
  2. Step 2: Convert to fraction form
    67.82/93.50 = 43.22/x
  3. Step 3: Cross multiply
    67.82x = 93.50 × 43.22
  4. Step 4: Simplify right side
    67.82x = 4,040.97
  5. Step 5: Solve for x
    x = 4,040.97/67.82
  6. Step 6: Final answer
    x = 59.58

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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.