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Finding the Fourth Proportional to 121.86, 182.84 and 76.24

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Solution

The fourth proportional to 121.86, 182.84 and 76.24 is: 114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.86 : 182.84 = 76.24 : x
  2. Step 2: Convert to fraction form
    121.86/182.84 = 76.24/x
  3. Step 3: Cross multiply
    121.86x = 182.84 × 76.24
  4. Step 4: Simplify right side
    121.86x = 13,939.72
  5. Step 5: Solve for x
    x = 13,939.72/121.86
  6. Step 6: Final answer
    x = 114.39

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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.