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Finding the Fourth Proportional to 69.74, 104.62 and 21.64

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Solution

The fourth proportional to 69.74, 104.62 and 21.64 is: 32.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.74 : 104.62 = 21.64 : x
  2. Step 2: Convert to fraction form
    69.74/104.62 = 21.64/x
  3. Step 3: Cross multiply
    69.74x = 104.62 × 21.64
  4. Step 4: Simplify right side
    69.74x = 2,263.98
  5. Step 5: Solve for x
    x = 2,263.98/69.74
  6. Step 6: Final answer
    x = 32.47

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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.