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Finding the Fourth Proportional to 88.06, 122.09 and 83.20

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Solution

The fourth proportional to 88.06, 122.09 and 83.20 is: 115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.06 : 122.09 = 83.20 : x
  2. Step 2: Convert to fraction form
    88.06/122.09 = 83.20/x
  3. Step 3: Cross multiply
    88.06x = 122.09 × 83.20
  4. Step 4: Simplify right side
    88.06x = 10,157.89
  5. Step 5: Solve for x
    x = 10,157.89/88.06
  6. Step 6: Final answer
    x = 115.35

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.