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Finding the Fourth Proportional to 121.15, 181.74 and 38.86

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Solution

The fourth proportional to 121.15, 181.74 and 38.86 is: 58.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.15 : 181.74 = 38.86 : x
  2. Step 2: Convert to fraction form
    121.15/181.74 = 38.86/x
  3. Step 3: Cross multiply
    121.15x = 181.74 × 38.86
  4. Step 4: Simplify right side
    121.15x = 7,061.79
  5. Step 5: Solve for x
    x = 7,061.79/121.15
  6. Step 6: Final answer
    x = 58.29

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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.