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Finding the Fourth Proportional to 75.22, 104.31 and 72.99

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Solution

The fourth proportional to 75.22, 104.31 and 72.99 is: 101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.22 : 104.31 = 72.99 : x
  2. Step 2: Convert to fraction form
    75.22/104.31 = 72.99/x
  3. Step 3: Cross multiply
    75.22x = 104.31 × 72.99
  4. Step 4: Simplify right side
    75.22x = 7,613.59
  5. Step 5: Solve for x
    x = 7,613.59/75.22
  6. Step 6: Final answer
    x = 101.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.