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Finding the Fourth Proportional to 81.06, 122.01 and 69.32

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Solution

The fourth proportional to 81.06, 122.01 and 69.32 is: 104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.06 : 122.01 = 69.32 : x
  2. Step 2: Convert to fraction form
    81.06/122.01 = 69.32/x
  3. Step 3: Cross multiply
    81.06x = 122.01 × 69.32
  4. Step 4: Simplify right side
    81.06x = 8,457.73
  5. Step 5: Solve for x
    x = 8,457.73/81.06
  6. Step 6: Final answer
    x = 104.34

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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.