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Finding the Fourth Proportional to 138.26, 190.78 and 86.50

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Solution

The fourth proportional to 138.26, 190.78 and 86.50 is: 119.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.26 : 190.78 = 86.50 : x
  2. Step 2: Convert to fraction form
    138.26/190.78 = 86.50/x
  3. Step 3: Cross multiply
    138.26x = 190.78 × 86.50
  4. Step 4: Simplify right side
    138.26x = 16,502.47
  5. Step 5: Solve for x
    x = 16,502.47/138.26
  6. Step 6: Final answer
    x = 119.36

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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.