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Finding the Fourth Proportional to 121.37, 181.71 and 116.24

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Solution

The fourth proportional to 121.37, 181.71 and 116.24 is: 174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.37 : 181.71 = 116.24 : x
  2. Step 2: Convert to fraction form
    121.37/181.71 = 116.24/x
  3. Step 3: Cross multiply
    121.37x = 181.71 × 116.24
  4. Step 4: Simplify right side
    121.37x = 21,121.06
  5. Step 5: Solve for x
    x = 21,121.06/121.37
  6. Step 6: Final answer
    x = 174.03

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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.