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Finding the Fourth Proportional to 121.14, 181.69 and 47.99

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Solution

The fourth proportional to 121.14, 181.69 and 47.99 is: 71.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.14 : 181.69 = 47.99 : x
  2. Step 2: Convert to fraction form
    121.14/181.69 = 47.99/x
  3. Step 3: Cross multiply
    121.14x = 181.69 × 47.99
  4. Step 4: Simplify right side
    121.14x = 8,718.39
  5. Step 5: Solve for x
    x = 8,718.39/121.14
  6. Step 6: Final answer
    x = 71.97

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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.