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Finding the Fourth Proportional to 82.09, 122.85 and 70.21

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Solution

The fourth proportional to 82.09, 122.85 and 70.21 is: 105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.09 : 122.85 = 70.21 : x
  2. Step 2: Convert to fraction form
    82.09/122.85 = 70.21/x
  3. Step 3: Cross multiply
    82.09x = 122.85 × 70.21
  4. Step 4: Simplify right side
    82.09x = 8,625.30
  5. Step 5: Solve for x
    x = 8,625.30/82.09
  6. Step 6: Final answer
    x = 105.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.