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Finding the Fourth Proportional to 121.60, 167.73 and 107.80

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Solution

The fourth proportional to 121.60, 167.73 and 107.80 is: 148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.60 : 167.73 = 107.80 : x
  2. Step 2: Convert to fraction form
    121.60/167.73 = 107.80/x
  3. Step 3: Cross multiply
    121.60x = 167.73 × 107.80
  4. Step 4: Simplify right side
    121.60x = 18,081.29
  5. Step 5: Solve for x
    x = 18,081.29/121.60
  6. Step 6: Final answer
    x = 148.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.