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Finding the Fourth Proportional to 121.60, 182.41 and 49.48

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Solution

The fourth proportional to 121.60, 182.41 and 49.48 is: 74.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.60 : 182.41 = 49.48 : x
  2. Step 2: Convert to fraction form
    121.60/182.41 = 49.48/x
  3. Step 3: Cross multiply
    121.60x = 182.41 × 49.48
  4. Step 4: Simplify right side
    121.60x = 9,025.65
  5. Step 5: Solve for x
    x = 9,025.65/121.60
  6. Step 6: Final answer
    x = 74.22

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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.