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Finding the Fourth Proportional to 69.72, 105.09 and 69.04

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Solution

The fourth proportional to 69.72, 105.09 and 69.04 is: 104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.72 : 105.09 = 69.04 : x
  2. Step 2: Convert to fraction form
    69.72/105.09 = 69.04/x
  3. Step 3: Cross multiply
    69.72x = 105.09 × 69.04
  4. Step 4: Simplify right side
    69.72x = 7,255.41
  5. Step 5: Solve for x
    x = 7,255.41/69.72
  6. Step 6: Final answer
    x = 104.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.