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Finding the Fourth Proportional to 121.47, 181.99 and 75.67

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Solution

The fourth proportional to 121.47, 181.99 and 75.67 is: 113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.47 : 181.99 = 75.67 : x
  2. Step 2: Convert to fraction form
    121.47/181.99 = 75.67/x
  3. Step 3: Cross multiply
    121.47x = 181.99 × 75.67
  4. Step 4: Simplify right side
    121.47x = 13,770.82
  5. Step 5: Solve for x
    x = 13,770.82/121.47
  6. Step 6: Final answer
    x = 113.37

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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.