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Finding the Fourth Proportional to 80.59, 111.04 and 54.67

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Solution

The fourth proportional to 80.59, 111.04 and 54.67 is: 75.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.59 : 111.04 = 54.67 : x
  2. Step 2: Convert to fraction form
    80.59/111.04 = 54.67/x
  3. Step 3: Cross multiply
    80.59x = 111.04 × 54.67
  4. Step 4: Simplify right side
    80.59x = 6,070.56
  5. Step 5: Solve for x
    x = 6,070.56/80.59
  6. Step 6: Final answer
    x = 75.33

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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.