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Finding the Fourth Proportional to 76.03, 104.29 and 74.21

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Solution

The fourth proportional to 76.03, 104.29 and 74.21 is: 101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.03 : 104.29 = 74.21 : x
  2. Step 2: Convert to fraction form
    76.03/104.29 = 74.21/x
  3. Step 3: Cross multiply
    76.03x = 104.29 × 74.21
  4. Step 4: Simplify right side
    76.03x = 7,738.65
  5. Step 5: Solve for x
    x = 7,738.65/76.03
  6. Step 6: Final answer
    x = 101.79

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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.