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Finding the Fourth Proportional to 67.55, 93.23 and 38.05

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Solution

The fourth proportional to 67.55, 93.23 and 38.05 is: 52.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.55 : 93.23 = 38.05 : x
  2. Step 2: Convert to fraction form
    67.55/93.23 = 38.05/x
  3. Step 3: Cross multiply
    67.55x = 93.23 × 38.05
  4. Step 4: Simplify right side
    67.55x = 3,546.98
  5. Step 5: Solve for x
    x = 3,546.98/67.55
  6. Step 6: Final answer
    x = 52.51

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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.