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Finding the Fourth Proportional to 123.31, 184.01 and 109.68

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Solution

The fourth proportional to 123.31, 184.01 and 109.68 is: 163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.31 : 184.01 = 109.68 : x
  2. Step 2: Convert to fraction form
    123.31/184.01 = 109.68/x
  3. Step 3: Cross multiply
    123.31x = 184.01 × 109.68
  4. Step 4: Simplify right side
    123.31x = 20,182.22
  5. Step 5: Solve for x
    x = 20,182.22/123.31
  6. Step 6: Final answer
    x = 163.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.