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Finding the Fourth Proportional to 161.17, 222.16 and 114.45

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Solution

The fourth proportional to 161.17, 222.16 and 114.45 is: 157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.17 : 222.16 = 114.45 : x
  2. Step 2: Convert to fraction form
    161.17/222.16 = 114.45/x
  3. Step 3: Cross multiply
    161.17x = 222.16 × 114.45
  4. Step 4: Simplify right side
    161.17x = 25,424.53
  5. Step 5: Solve for x
    x = 25,424.53/161.17
  6. Step 6: Final answer
    x = 157.75

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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.