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Finding the Fourth Proportional to 80.25, 110.75 and 51.14

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Solution

The fourth proportional to 80.25, 110.75 and 51.14 is: 70.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.25 : 110.75 = 51.14 : x
  2. Step 2: Convert to fraction form
    80.25/110.75 = 51.14/x
  3. Step 3: Cross multiply
    80.25x = 110.75 × 51.14
  4. Step 4: Simplify right side
    80.25x = 5,662.95
  5. Step 5: Solve for x
    x = 5,662.95/80.25
  6. Step 6: Final answer
    x = 70.57

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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.