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Finding the Fourth Proportional to 76.05, 105.38 and 74.43

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Solution

The fourth proportional to 76.05, 105.38 and 74.43 is: 103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.05 : 105.38 = 74.43 : x
  2. Step 2: Convert to fraction form
    76.05/105.38 = 74.43/x
  3. Step 3: Cross multiply
    76.05x = 105.38 × 74.43
  4. Step 4: Simplify right side
    76.05x = 7,843.06
  5. Step 5: Solve for x
    x = 7,843.06/76.05
  6. Step 6: Final answer
    x = 103.13

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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.