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Finding the Fourth Proportional to 117.14, 162.74 and 116.09

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Solution

The fourth proportional to 117.14, 162.74 and 116.09 is: 161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.14 : 162.74 = 116.09 : x
  2. Step 2: Convert to fraction form
    117.14/162.74 = 116.09/x
  3. Step 3: Cross multiply
    117.14x = 162.74 × 116.09
  4. Step 4: Simplify right side
    117.14x = 18,891.67
  5. Step 5: Solve for x
    x = 18,891.67/117.14
  6. Step 6: Final answer
    x = 161.27

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.