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Finding the Fourth Proportional to 69.08, 102.43 and 68.17

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Solution

The fourth proportional to 69.08, 102.43 and 68.17 is: 101.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.08 : 102.43 = 68.17 : x
  2. Step 2: Convert to fraction form
    69.08/102.43 = 68.17/x
  3. Step 3: Cross multiply
    69.08x = 102.43 × 68.17
  4. Step 4: Simplify right side
    69.08x = 6,982.65
  5. Step 5: Solve for x
    x = 6,982.65/69.08
  6. Step 6: Final answer
    x = 101.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.