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Finding the Fourth Proportional to 68.06, 93.12 and 67.77

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Solution

The fourth proportional to 68.06, 93.12 and 67.77 is: 92.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.06 : 93.12 = 67.77 : x
  2. Step 2: Convert to fraction form
    68.06/93.12 = 67.77/x
  3. Step 3: Cross multiply
    68.06x = 93.12 × 67.77
  4. Step 4: Simplify right side
    68.06x = 6,311.09
  5. Step 5: Solve for x
    x = 6,311.09/68.06
  6. Step 6: Final answer
    x = 92.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.