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Finding the Fourth Proportional to 161.16, 222.52 and 123.75

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Solution

The fourth proportional to 161.16, 222.52 and 123.75 is: 170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.16 : 222.52 = 123.75 : x
  2. Step 2: Convert to fraction form
    161.16/222.52 = 123.75/x
  3. Step 3: Cross multiply
    161.16x = 222.52 × 123.75
  4. Step 4: Simplify right side
    161.16x = 27,536.23
  5. Step 5: Solve for x
    x = 27,536.23/161.16
  6. Step 6: Final answer
    x = 170.86

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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.