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Finding the Fourth Proportional to 138.46, 190.81 and 99.05

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Solution

The fourth proportional to 138.46, 190.81 and 99.05 is: 136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.46 : 190.81 = 99.05 : x
  2. Step 2: Convert to fraction form
    138.46/190.81 = 99.05/x
  3. Step 3: Cross multiply
    138.46x = 190.81 × 99.05
  4. Step 4: Simplify right side
    138.46x = 18,898.76
  5. Step 5: Solve for x
    x = 18,898.76/138.46
  6. Step 6: Final answer
    x = 136.50

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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.