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Finding the Fourth Proportional to 121.39, 181.21 and 105.24

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Solution

The fourth proportional to 121.39, 181.21 and 105.24 is: 157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.39 : 181.21 = 105.24 : x
  2. Step 2: Convert to fraction form
    121.39/181.21 = 105.24/x
  3. Step 3: Cross multiply
    121.39x = 181.21 × 105.24
  4. Step 4: Simplify right side
    121.39x = 19,070.54
  5. Step 5: Solve for x
    x = 19,070.54/121.39
  6. Step 6: Final answer
    x = 157.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.