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Finding the Fourth Proportional to 116.94, 161.22 and 75.45

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Solution

The fourth proportional to 116.94, 161.22 and 75.45 is: 104.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.94 : 161.22 = 75.45 : x
  2. Step 2: Convert to fraction form
    116.94/161.22 = 75.45/x
  3. Step 3: Cross multiply
    116.94x = 161.22 × 75.45
  4. Step 4: Simplify right side
    116.94x = 12,164.05
  5. Step 5: Solve for x
    x = 12,164.05/116.94
  6. Step 6: Final answer
    x = 104.02

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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.