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Finding the Fourth Proportional to 75.43, 104.57 and 72.91

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Solution

The fourth proportional to 75.43, 104.57 and 72.91 is: 101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.43 : 104.57 = 72.91 : x
  2. Step 2: Convert to fraction form
    75.43/104.57 = 72.91/x
  3. Step 3: Cross multiply
    75.43x = 104.57 × 72.91
  4. Step 4: Simplify right side
    75.43x = 7,623.57
  5. Step 5: Solve for x
    x = 7,623.57/75.43
  6. Step 6: Final answer
    x = 101.07

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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.