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Finding the Fourth Proportional to 88.65, 122.18 and 83.25

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Solution

The fourth proportional to 88.65, 122.18 and 83.25 is: 114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.65 : 122.18 = 83.25 : x
  2. Step 2: Convert to fraction form
    88.65/122.18 = 83.25/x
  3. Step 3: Cross multiply
    88.65x = 122.18 × 83.25
  4. Step 4: Simplify right side
    88.65x = 10,171.07
  5. Step 5: Solve for x
    x = 10,171.07/88.65
  6. Step 6: Final answer
    x = 114.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.