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Finding the Fourth Proportional to 139.32, 208.04 and 111.78

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Solution

The fourth proportional to 139.32, 208.04 and 111.78 is: 166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.32 : 208.04 = 111.78 : x
  2. Step 2: Convert to fraction form
    139.32/208.04 = 111.78/x
  3. Step 3: Cross multiply
    139.32x = 208.04 × 111.78
  4. Step 4: Simplify right side
    139.32x = 23,254.15
  5. Step 5: Solve for x
    x = 23,254.15/139.32
  6. Step 6: Final answer
    x = 166.91

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