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Finding the Fourth Proportional to 124.33, 172.01 and 119.83

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Solution

The fourth proportional to 124.33, 172.01 and 119.83 is: 165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.33 : 172.01 = 119.83 : x
  2. Step 2: Convert to fraction form
    124.33/172.01 = 119.83/x
  3. Step 3: Cross multiply
    124.33x = 172.01 × 119.83
  4. Step 4: Simplify right side
    124.33x = 20,611.96
  5. Step 5: Solve for x
    x = 20,611.96/124.33
  6. Step 6: Final answer
    x = 165.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.