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Finding the Fourth Proportional to 80.99, 111.64 and 74.91

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Solution

The fourth proportional to 80.99, 111.64 and 74.91 is: 103.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.99 : 111.64 = 74.91 : x
  2. Step 2: Convert to fraction form
    80.99/111.64 = 74.91/x
  3. Step 3: Cross multiply
    80.99x = 111.64 × 74.91
  4. Step 4: Simplify right side
    80.99x = 8,362.95
  5. Step 5: Solve for x
    x = 8,362.95/80.99
  6. Step 6: Final answer
    x = 103.26

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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.