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Finding the Fourth Proportional to 161.16, 222.48 and 112.08

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Solution

The fourth proportional to 161.16, 222.48 and 112.08 is: 154.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.16 : 222.48 = 112.08 : x
  2. Step 2: Convert to fraction form
    161.16/222.48 = 112.08/x
  3. Step 3: Cross multiply
    161.16x = 222.48 × 112.08
  4. Step 4: Simplify right side
    161.16x = 24,935.56
  5. Step 5: Solve for x
    x = 24,935.56/161.16
  6. Step 6: Final answer
    x = 154.73

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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.