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Finding the Fourth Proportional to 90.26, 123.86 and 82.05

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Solution

The fourth proportional to 90.26, 123.86 and 82.05 is: 112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.26 : 123.86 = 82.05 : x
  2. Step 2: Convert to fraction form
    90.26/123.86 = 82.05/x
  3. Step 3: Cross multiply
    90.26x = 123.86 × 82.05
  4. Step 4: Simplify right side
    90.26x = 10,162.30
  5. Step 5: Solve for x
    x = 10,162.30/90.26
  6. Step 6: Final answer
    x = 112.60

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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.