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Finding the Fourth Proportional to 76.85, 105.99 and 54.98

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Solution

The fourth proportional to 76.85, 105.99 and 54.98 is: 75.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.85 : 105.99 = 54.98 : x
  2. Step 2: Convert to fraction form
    76.85/105.99 = 54.98/x
  3. Step 3: Cross multiply
    76.85x = 105.99 × 54.98
  4. Step 4: Simplify right side
    76.85x = 5,827.33
  5. Step 5: Solve for x
    x = 5,827.33/76.85
  6. Step 6: Final answer
    x = 75.83

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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.