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Finding the Fourth Proportional to 121.60, 182.33 and 40.41

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Solution

The fourth proportional to 121.60, 182.33 and 40.41 is: 60.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.60 : 182.33 = 40.41 : x
  2. Step 2: Convert to fraction form
    121.60/182.33 = 40.41/x
  3. Step 3: Cross multiply
    121.60x = 182.33 × 40.41
  4. Step 4: Simplify right side
    121.60x = 7,367.75
  5. Step 5: Solve for x
    x = 7,367.75/121.60
  6. Step 6: Final answer
    x = 60.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.