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Finding the Fourth Proportional to 91.49, 125.73 and 81.06

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Solution

The fourth proportional to 91.49, 125.73 and 81.06 is: 111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.49 : 125.73 = 81.06 : x
  2. Step 2: Convert to fraction form
    91.49/125.73 = 81.06/x
  3. Step 3: Cross multiply
    91.49x = 125.73 × 81.06
  4. Step 4: Simplify right side
    91.49x = 10,191.98
  5. Step 5: Solve for x
    x = 10,191.98/91.49
  6. Step 6: Final answer
    x = 111.41

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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.