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Finding the Fourth Proportional to 77, 105.94 and 74.04

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Solution

The fourth proportional to 77, 105.94 and 74.04 is: 101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77 : 105.94 = 74.04 : x
  2. Step 2: Convert to fraction form
    77/105.94 = 74.04/x
  3. Step 3: Cross multiply
    77x = 105.94 × 74.04
  4. Step 4: Simplify right side
    77x = 7,843.80
  5. Step 5: Solve for x
    x = 7,843.80/77
  6. Step 6: Final answer
    x = 101.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.