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Finding the Fourth Proportional to 121.02, 181.05 and 105.66

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Solution

The fourth proportional to 121.02, 181.05 and 105.66 is: 158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.02 : 181.05 = 105.66 : x
  2. Step 2: Convert to fraction form
    121.02/181.05 = 105.66/x
  3. Step 3: Cross multiply
    121.02x = 181.05 × 105.66
  4. Step 4: Simplify right side
    121.02x = 19,129.74
  5. Step 5: Solve for x
    x = 19,129.74/121.02
  6. Step 6: Final answer
    x = 158.07

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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.