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Finding the Fourth Proportional to 163.54, 245.40 and 122.92

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Solution

The fourth proportional to 163.54, 245.40 and 122.92 is: 184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.54 : 245.40 = 122.92 : x
  2. Step 2: Convert to fraction form
    163.54/245.40 = 122.92/x
  3. Step 3: Cross multiply
    163.54x = 245.40 × 122.92
  4. Step 4: Simplify right side
    163.54x = 30,164.57
  5. Step 5: Solve for x
    x = 30,164.57/163.54
  6. Step 6: Final answer
    x = 184.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.