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Finding the Fourth Proportional to 69.93, 105.12 and 66.33

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Solution

The fourth proportional to 69.93, 105.12 and 66.33 is: 99.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.93 : 105.12 = 66.33 : x
  2. Step 2: Convert to fraction form
    69.93/105.12 = 66.33/x
  3. Step 3: Cross multiply
    69.93x = 105.12 × 66.33
  4. Step 4: Simplify right side
    69.93x = 6,972.61
  5. Step 5: Solve for x
    x = 6,972.61/69.93
  6. Step 6: Final answer
    x = 99.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.