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Finding the Fourth Proportional to 77.10, 105.69 and 75.87

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Solution

The fourth proportional to 77.10, 105.69 and 75.87 is: 104.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.10 : 105.69 = 75.87 : x
  2. Step 2: Convert to fraction form
    77.10/105.69 = 75.87/x
  3. Step 3: Cross multiply
    77.10x = 105.69 × 75.87
  4. Step 4: Simplify right side
    77.10x = 8,018.70
  5. Step 5: Solve for x
    x = 8,018.70/77.10
  6. Step 6: Final answer
    x = 104.00

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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.