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Finding the Fourth Proportional to 161.36, 241.64 and 115.52

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Solution

The fourth proportional to 161.36, 241.64 and 115.52 is: 172.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.36 : 241.64 = 115.52 : x
  2. Step 2: Convert to fraction form
    161.36/241.64 = 115.52/x
  3. Step 3: Cross multiply
    161.36x = 241.64 × 115.52
  4. Step 4: Simplify right side
    161.36x = 27,914.25
  5. Step 5: Solve for x
    x = 27,914.25/161.36
  6. Step 6: Final answer
    x = 172.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.