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Finding the Fourth Proportional to 77.36, 106.68 and 75.44

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Solution

The fourth proportional to 77.36, 106.68 and 75.44 is: 104.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.36 : 106.68 = 75.44 : x
  2. Step 2: Convert to fraction form
    77.36/106.68 = 75.44/x
  3. Step 3: Cross multiply
    77.36x = 106.68 × 75.44
  4. Step 4: Simplify right side
    77.36x = 8,047.94
  5. Step 5: Solve for x
    x = 8,047.94/77.36
  6. Step 6: Final answer
    x = 104.03

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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.