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Finding the Fourth Proportional to 123.84, 169.96 and 120.96

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Solution

The fourth proportional to 123.84, 169.96 and 120.96 is: 166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.84 : 169.96 = 120.96 : x
  2. Step 2: Convert to fraction form
    123.84/169.96 = 120.96/x
  3. Step 3: Cross multiply
    123.84x = 169.96 × 120.96
  4. Step 4: Simplify right side
    123.84x = 20,558.36
  5. Step 5: Solve for x
    x = 20,558.36/123.84
  6. Step 6: Final answer
    x = 166.01

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.