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Finding the Fourth Proportional to 116, 173.04 and 110.84

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Solution

The fourth proportional to 116, 173.04 and 110.84 is: 165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116 : 173.04 = 110.84 : x
  2. Step 2: Convert to fraction form
    116/173.04 = 110.84/x
  3. Step 3: Cross multiply
    116x = 173.04 × 110.84
  4. Step 4: Simplify right side
    116x = 19,179.75
  5. Step 5: Solve for x
    x = 19,179.75/116
  6. Step 6: Final answer
    x = 165.34

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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.