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Finding the Fourth Proportional to 122.75, 185.07 and 98.99

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Solution

The fourth proportional to 122.75, 185.07 and 98.99 is: 149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.75 : 185.07 = 98.99 : x
  2. Step 2: Convert to fraction form
    122.75/185.07 = 98.99/x
  3. Step 3: Cross multiply
    122.75x = 185.07 × 98.99
  4. Step 4: Simplify right side
    122.75x = 18,320.08
  5. Step 5: Solve for x
    x = 18,320.08/122.75
  6. Step 6: Final answer
    x = 149.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.