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Finding the Fourth Proportional to 121.62, 182.42 and 75.93

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Solution

The fourth proportional to 121.62, 182.42 and 75.93 is: 113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.62 : 182.42 = 75.93 : x
  2. Step 2: Convert to fraction form
    121.62/182.42 = 75.93/x
  3. Step 3: Cross multiply
    121.62x = 182.42 × 75.93
  4. Step 4: Simplify right side
    121.62x = 13,850.77
  5. Step 5: Solve for x
    x = 13,850.77/121.62
  6. Step 6: Final answer
    x = 113.89

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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.