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Finding the Fourth Proportional to 68.13, 102.22 and 20.04

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Solution

The fourth proportional to 68.13, 102.22 and 20.04 is: 30.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.13 : 102.22 = 20.04 : x
  2. Step 2: Convert to fraction form
    68.13/102.22 = 20.04/x
  3. Step 3: Cross multiply
    68.13x = 102.22 × 20.04
  4. Step 4: Simplify right side
    68.13x = 2,048.40
  5. Step 5: Solve for x
    x = 2,048.40/68.13
  6. Step 6: Final answer
    x = 30.06

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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.