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Finding the Fourth Proportional to 121.63, 182.61 and 75.84

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Solution

The fourth proportional to 121.63, 182.61 and 75.84 is: 113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.63 : 182.61 = 75.84 : x
  2. Step 2: Convert to fraction form
    121.63/182.61 = 75.84/x
  3. Step 3: Cross multiply
    121.63x = 182.61 × 75.84
  4. Step 4: Simplify right side
    121.63x = 13,849.14
  5. Step 5: Solve for x
    x = 13,849.14/121.63
  6. Step 6: Final answer
    x = 113.87

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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.