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Finding the Fourth Proportional to 139.33, 209.01 and 123.23

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Solution

The fourth proportional to 139.33, 209.01 and 123.23 is: 184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.33 : 209.01 = 123.23 : x
  2. Step 2: Convert to fraction form
    139.33/209.01 = 123.23/x
  3. Step 3: Cross multiply
    139.33x = 209.01 × 123.23
  4. Step 4: Simplify right side
    139.33x = 25,756.30
  5. Step 5: Solve for x
    x = 25,756.30/139.33
  6. Step 6: Final answer
    x = 184.86

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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.