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Finding the Fourth Proportional to 138.99, 191.56 and 105.78

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Solution

The fourth proportional to 138.99, 191.56 and 105.78 is: 145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.99 : 191.56 = 105.78 : x
  2. Step 2: Convert to fraction form
    138.99/191.56 = 105.78/x
  3. Step 3: Cross multiply
    138.99x = 191.56 × 105.78
  4. Step 4: Simplify right side
    138.99x = 20,262.26
  5. Step 5: Solve for x
    x = 20,262.26/138.99
  6. Step 6: Final answer
    x = 145.79

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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.