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Finding the Fourth Proportional to 121.52, 182.26 and 75.86

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Solution

The fourth proportional to 121.52, 182.26 and 75.86 is: 113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.52 : 182.26 = 75.86 : x
  2. Step 2: Convert to fraction form
    121.52/182.26 = 75.86/x
  3. Step 3: Cross multiply
    121.52x = 182.26 × 75.86
  4. Step 4: Simplify right side
    121.52x = 13,825.86
  5. Step 5: Solve for x
    x = 13,825.86/121.52
  6. Step 6: Final answer
    x = 113.78

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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.