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Finding the Fourth Proportional to 139.58, 209.15 and 123.29

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Solution

The fourth proportional to 139.58, 209.15 and 123.29 is: 184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.58 : 209.15 = 123.29 : x
  2. Step 2: Convert to fraction form
    139.58/209.15 = 123.29/x
  3. Step 3: Cross multiply
    139.58x = 209.15 × 123.29
  4. Step 4: Simplify right side
    139.58x = 25,786.10
  5. Step 5: Solve for x
    x = 25,786.10/139.58
  6. Step 6: Final answer
    x = 184.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.