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Finding the Fourth Proportional to 138.63, 191.35 and 94.96

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Solution

The fourth proportional to 138.63, 191.35 and 94.96 is: 131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.63 : 191.35 = 94.96 : x
  2. Step 2: Convert to fraction form
    138.63/191.35 = 94.96/x
  3. Step 3: Cross multiply
    138.63x = 191.35 × 94.96
  4. Step 4: Simplify right side
    138.63x = 18,169.16
  5. Step 5: Solve for x
    x = 18,169.16/138.63
  6. Step 6: Final answer
    x = 131.06

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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.