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Finding the Fourth Proportional to 69.01, 103.09 and 68.32

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Solution

The fourth proportional to 69.01, 103.09 and 68.32 is: 102.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.01 : 103.09 = 68.32 : x
  2. Step 2: Convert to fraction form
    69.01/103.09 = 68.32/x
  3. Step 3: Cross multiply
    69.01x = 103.09 × 68.32
  4. Step 4: Simplify right side
    69.01x = 7,043.11
  5. Step 5: Solve for x
    x = 7,043.11/69.01
  6. Step 6: Final answer
    x = 102.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.