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Finding the Fourth Proportional to 69.74, 103.90 and 66.83

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Solution

The fourth proportional to 69.74, 103.90 and 66.83 is: 99.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.74 : 103.90 = 66.83 : x
  2. Step 2: Convert to fraction form
    69.74/103.90 = 66.83/x
  3. Step 3: Cross multiply
    69.74x = 103.90 × 66.83
  4. Step 4: Simplify right side
    69.74x = 6,943.73
  5. Step 5: Solve for x
    x = 6,943.73/69.74
  6. Step 6: Final answer
    x = 99.57

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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.