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Finding the Fourth Proportional to 121.14, 181.42 and 75.41

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Solution

The fourth proportional to 121.14, 181.42 and 75.41 is: 112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.14 : 181.42 = 75.41 : x
  2. Step 2: Convert to fraction form
    121.14/181.42 = 75.41/x
  3. Step 3: Cross multiply
    121.14x = 181.42 × 75.41
  4. Step 4: Simplify right side
    121.14x = 13,679.79
  5. Step 5: Solve for x
    x = 13,679.79/121.14
  6. Step 6: Final answer
    x = 112.93

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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.