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Finding the Fourth Proportional to 67.61, 101.34 and 27

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Solution

The fourth proportional to 67.61, 101.34 and 27 is: 40.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.61 : 101.34 = 27 : x
  2. Step 2: Convert to fraction form
    67.61/101.34 = 27/x
  3. Step 3: Cross multiply
    67.61x = 101.34 × 27
  4. Step 4: Simplify right side
    67.61x = 2,736.18
  5. Step 5: Solve for x
    x = 2,736.18/67.61
  6. Step 6: Final answer
    x = 40.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.