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Finding the Fourth Proportional to 139.14, 207.90 and 109.98

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Solution

The fourth proportional to 139.14, 207.90 and 109.98 is: 164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.14 : 207.90 = 109.98 : x
  2. Step 2: Convert to fraction form
    139.14/207.90 = 109.98/x
  3. Step 3: Cross multiply
    139.14x = 207.90 × 109.98
  4. Step 4: Simplify right side
    139.14x = 22,864.84
  5. Step 5: Solve for x
    x = 22,864.84/139.14
  6. Step 6: Final answer
    x = 164.33

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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.