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Finding the Fourth Proportional to 161.65, 222.91 and 114.94

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Solution

The fourth proportional to 161.65, 222.91 and 114.94 is: 158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.65 : 222.91 = 114.94 : x
  2. Step 2: Convert to fraction form
    161.65/222.91 = 114.94/x
  3. Step 3: Cross multiply
    161.65x = 222.91 × 114.94
  4. Step 4: Simplify right side
    161.65x = 25,621.28
  5. Step 5: Solve for x
    x = 25,621.28/161.65
  6. Step 6: Final answer
    x = 158.50

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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.