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Finding the Fourth Proportional to 116.78, 161.06 and 112.05

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Solution

The fourth proportional to 116.78, 161.06 and 112.05 is: 154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.78 : 161.06 = 112.05 : x
  2. Step 2: Convert to fraction form
    116.78/161.06 = 112.05/x
  3. Step 3: Cross multiply
    116.78x = 161.06 × 112.05
  4. Step 4: Simplify right side
    116.78x = 18,046.21
  5. Step 5: Solve for x
    x = 18,046.21/116.78
  6. Step 6: Final answer
    x = 154.54

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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.