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Finding the Fourth Proportional to 67.27, 100.77 and 55.21

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Solution

The fourth proportional to 67.27, 100.77 and 55.21 is: 82.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.27 : 100.77 = 55.21 : x
  2. Step 2: Convert to fraction form
    67.27/100.77 = 55.21/x
  3. Step 3: Cross multiply
    67.27x = 100.77 × 55.21
  4. Step 4: Simplify right side
    67.27x = 5,563.51
  5. Step 5: Solve for x
    x = 5,563.51/67.27
  6. Step 6: Final answer
    x = 82.70

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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.