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Finding the Fourth Proportional to 77.49, 105.89 and 77.04

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Solution

The fourth proportional to 77.49, 105.89 and 77.04 is: 105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.49 : 105.89 = 77.04 : x
  2. Step 2: Convert to fraction form
    77.49/105.89 = 77.04/x
  3. Step 3: Cross multiply
    77.49x = 105.89 × 77.04
  4. Step 4: Simplify right side
    77.49x = 8,157.38
  5. Step 5: Solve for x
    x = 8,157.38/77.49
  6. Step 6: Final answer
    x = 105.27

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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.