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Finding the Fourth Proportional to 121.15, 181.37 and 85.06

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Solution

The fourth proportional to 121.15, 181.37 and 85.06 is: 127.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.15 : 181.37 = 85.06 : x
  2. Step 2: Convert to fraction form
    121.15/181.37 = 85.06/x
  3. Step 3: Cross multiply
    121.15x = 181.37 × 85.06
  4. Step 4: Simplify right side
    121.15x = 15,426.91
  5. Step 5: Solve for x
    x = 15,426.91/121.15
  6. Step 6: Final answer
    x = 127.34

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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.