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Finding the Fourth Proportional to 121.60, 181.28 and 107.83

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Solution

The fourth proportional to 121.60, 181.28 and 107.83 is: 160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.60 : 181.28 = 107.83 : x
  2. Step 2: Convert to fraction form
    121.60/181.28 = 107.83/x
  3. Step 3: Cross multiply
    121.60x = 181.28 × 107.83
  4. Step 4: Simplify right side
    121.60x = 19,545.98
  5. Step 5: Solve for x
    x = 19,545.98/121.60
  6. Step 6: Final answer
    x = 160.75

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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.