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Finding the Fourth Proportional to 75.91, 103.41 and 74.43

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Solution

The fourth proportional to 75.91, 103.41 and 74.43 is: 101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.91 : 103.41 = 74.43 : x
  2. Step 2: Convert to fraction form
    75.91/103.41 = 74.43/x
  3. Step 3: Cross multiply
    75.91x = 103.41 × 74.43
  4. Step 4: Simplify right side
    75.91x = 7,696.81
  5. Step 5: Solve for x
    x = 7,696.81/75.91
  6. Step 6: Final answer
    x = 101.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.