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Finding the Fourth Proportional to 164.60, 227.14 and 94.67

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Solution

The fourth proportional to 164.60, 227.14 and 94.67 is: 130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.60 : 227.14 = 94.67 : x
  2. Step 2: Convert to fraction form
    164.60/227.14 = 94.67/x
  3. Step 3: Cross multiply
    164.60x = 227.14 × 94.67
  4. Step 4: Simplify right side
    164.60x = 21,503.34
  5. Step 5: Solve for x
    x = 21,503.34/164.60
  6. Step 6: Final answer
    x = 130.64

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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.