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Finding the Fourth Proportional to 161.52, 222.88 and 91.59

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Solution

The fourth proportional to 161.52, 222.88 and 91.59 is: 126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.52 : 222.88 = 91.59 : x
  2. Step 2: Convert to fraction form
    161.52/222.88 = 91.59/x
  3. Step 3: Cross multiply
    161.52x = 222.88 × 91.59
  4. Step 4: Simplify right side
    161.52x = 20,412.01
  5. Step 5: Solve for x
    x = 20,412.01/161.52
  6. Step 6: Final answer
    x = 126.37

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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.