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Finding the Fourth Proportional to 67.09, 92.65 and 55.55

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Solution

The fourth proportional to 67.09, 92.65 and 55.55 is: 76.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.09 : 92.65 = 55.55 : x
  2. Step 2: Convert to fraction form
    67.09/92.65 = 55.55/x
  3. Step 3: Cross multiply
    67.09x = 92.65 × 55.55
  4. Step 4: Simplify right side
    67.09x = 5,146.45
  5. Step 5: Solve for x
    x = 5,146.45/67.09
  6. Step 6: Final answer
    x = 76.71

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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.