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Finding the Fourth Proportional to 67.97, 93.79 and 40.33

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Solution

The fourth proportional to 67.97, 93.79 and 40.33 is: 55.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.97 : 93.79 = 40.33 : x
  2. Step 2: Convert to fraction form
    67.97/93.79 = 40.33/x
  3. Step 3: Cross multiply
    67.97x = 93.79 × 40.33
  4. Step 4: Simplify right side
    67.97x = 3,782.55
  5. Step 5: Solve for x
    x = 3,782.55/67.97
  6. Step 6: Final answer
    x = 55.65

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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.