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Finding the Fourth Proportional to 139.09, 191.82 and 109.93

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Solution

The fourth proportional to 139.09, 191.82 and 109.93 is: 151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.09 : 191.82 = 109.93 : x
  2. Step 2: Convert to fraction form
    139.09/191.82 = 109.93/x
  3. Step 3: Cross multiply
    139.09x = 191.82 × 109.93
  4. Step 4: Simplify right side
    139.09x = 21,086.77
  5. Step 5: Solve for x
    x = 21,086.77/139.09
  6. Step 6: Final answer
    x = 151.61

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