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Finding the Fourth Proportional to 75.07, 103.12 and 68.41

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Solution

The fourth proportional to 75.07, 103.12 and 68.41 is: 93.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.07 : 103.12 = 68.41 : x
  2. Step 2: Convert to fraction form
    75.07/103.12 = 68.41/x
  3. Step 3: Cross multiply
    75.07x = 103.12 × 68.41
  4. Step 4: Simplify right side
    75.07x = 7,054.44
  5. Step 5: Solve for x
    x = 7,054.44/75.07
  6. Step 6: Final answer
    x = 93.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.