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Finding the Fourth Proportional to 121.37, 181.92 and 48.23

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Solution

The fourth proportional to 121.37, 181.92 and 48.23 is: 72.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.37 : 181.92 = 48.23 : x
  2. Step 2: Convert to fraction form
    121.37/181.92 = 48.23/x
  3. Step 3: Cross multiply
    121.37x = 181.92 × 48.23
  4. Step 4: Simplify right side
    121.37x = 8,773.08
  5. Step 5: Solve for x
    x = 8,773.08/121.37
  6. Step 6: Final answer
    x = 72.28

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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.