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Finding the Fourth Proportional to 121.87, 182.99 and 98.81

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Solution

The fourth proportional to 121.87, 182.99 and 98.81 is: 148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.87 : 182.99 = 98.81 : x
  2. Step 2: Convert to fraction form
    121.87/182.99 = 98.81/x
  3. Step 3: Cross multiply
    121.87x = 182.99 × 98.81
  4. Step 4: Simplify right side
    121.87x = 18,081.24
  5. Step 5: Solve for x
    x = 18,081.24/121.87
  6. Step 6: Final answer
    x = 148.36

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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.