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Finding the Fourth Proportional to 91.45, 125.49 and 83.23

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Solution

The fourth proportional to 91.45, 125.49 and 83.23 is: 114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.45 : 125.49 = 83.23 : x
  2. Step 2: Convert to fraction form
    91.45/125.49 = 83.23/x
  3. Step 3: Cross multiply
    91.45x = 125.49 × 83.23
  4. Step 4: Simplify right side
    91.45x = 10,444.32
  5. Step 5: Solve for x
    x = 10,444.32/91.45
  6. Step 6: Final answer
    x = 114.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.