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Finding the Fourth Proportional to 121.93, 181.61 and 121.02

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Solution

The fourth proportional to 121.93, 181.61 and 121.02 is: 180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.93 : 181.61 = 121.02 : x
  2. Step 2: Convert to fraction form
    121.93/181.61 = 121.02/x
  3. Step 3: Cross multiply
    121.93x = 181.61 × 121.02
  4. Step 4: Simplify right side
    121.93x = 21,978.44
  5. Step 5: Solve for x
    x = 21,978.44/121.93
  6. Step 6: Final answer
    x = 180.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.