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Finding the Fourth Proportional to 91.33, 125.95 and 82.22

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Solution

The fourth proportional to 91.33, 125.95 and 82.22 is: 113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.33 : 125.95 = 82.22 : x
  2. Step 2: Convert to fraction form
    91.33/125.95 = 82.22/x
  3. Step 3: Cross multiply
    91.33x = 125.95 × 82.22
  4. Step 4: Simplify right side
    91.33x = 10,355.29
  5. Step 5: Solve for x
    x = 10,355.29/91.33
  6. Step 6: Final answer
    x = 113.38

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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.