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Finding the Fourth Proportional to 164.50, 227.02 and 95.50

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Solution

The fourth proportional to 164.50, 227.02 and 95.50 is: 131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.50 : 227.02 = 95.50 : x
  2. Step 2: Convert to fraction form
    164.50/227.02 = 95.50/x
  3. Step 3: Cross multiply
    164.50x = 227.02 × 95.50
  4. Step 4: Simplify right side
    164.50x = 21,680.41
  5. Step 5: Solve for x
    x = 21,680.41/164.50
  6. Step 6: Final answer
    x = 131.80

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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.