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Finding the Fourth Proportional to 69.06, 94.49 and 68.77

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Solution

The fourth proportional to 69.06, 94.49 and 68.77 is: 94.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.06 : 94.49 = 68.77 : x
  2. Step 2: Convert to fraction form
    69.06/94.49 = 68.77/x
  3. Step 3: Cross multiply
    69.06x = 94.49 × 68.77
  4. Step 4: Simplify right side
    69.06x = 6,498.08
  5. Step 5: Solve for x
    x = 6,498.08/69.06
  6. Step 6: Final answer
    x = 94.09

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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.