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Finding the Fourth Proportional to 161.16, 222.33 and 114.60

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Solution

The fourth proportional to 161.16, 222.33 and 114.60 is: 158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.16 : 222.33 = 114.60 : x
  2. Step 2: Convert to fraction form
    161.16/222.33 = 114.60/x
  3. Step 3: Cross multiply
    161.16x = 222.33 × 114.60
  4. Step 4: Simplify right side
    161.16x = 25,479.02
  5. Step 5: Solve for x
    x = 25,479.02/161.16
  6. Step 6: Final answer
    x = 158.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.