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Finding the Fourth Proportional to 91.32, 125.44 and 82.24

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Solution

The fourth proportional to 91.32, 125.44 and 82.24 is: 112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.32 : 125.44 = 82.24 : x
  2. Step 2: Convert to fraction form
    91.32/125.44 = 82.24/x
  3. Step 3: Cross multiply
    91.32x = 125.44 × 82.24
  4. Step 4: Simplify right side
    91.32x = 10,316.19
  5. Step 5: Solve for x
    x = 10,316.19/91.32
  6. Step 6: Final answer
    x = 112.97

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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.