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Finding the Fourth Proportional to 69.21, 103.30 and 68.74

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Solution

The fourth proportional to 69.21, 103.30 and 68.74 is: 102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.21 : 103.30 = 68.74 : x
  2. Step 2: Convert to fraction form
    69.21/103.30 = 68.74/x
  3. Step 3: Cross multiply
    69.21x = 103.30 × 68.74
  4. Step 4: Simplify right side
    69.21x = 7,100.41
  5. Step 5: Solve for x
    x = 7,100.41/69.21
  6. Step 6: Final answer
    x = 102.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.