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Finding the Fourth Proportional to 121.26, 181.86 and 82.86

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Solution

The fourth proportional to 121.26, 181.86 and 82.86 is: 124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.26 : 181.86 = 82.86 : x
  2. Step 2: Convert to fraction form
    121.26/181.86 = 82.86/x
  3. Step 3: Cross multiply
    121.26x = 181.86 × 82.86
  4. Step 4: Simplify right side
    121.26x = 15,068.92
  5. Step 5: Solve for x
    x = 15,068.92/121.26
  6. Step 6: Final answer
    x = 124.27

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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.