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Finding the Fourth Proportional to 162.07, 223.67 and 92.15

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Solution

The fourth proportional to 162.07, 223.67 and 92.15 is: 127.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.07 : 223.67 = 92.15 : x
  2. Step 2: Convert to fraction form
    162.07/223.67 = 92.15/x
  3. Step 3: Cross multiply
    162.07x = 223.67 × 92.15
  4. Step 4: Simplify right side
    162.07x = 20,611.15
  5. Step 5: Solve for x
    x = 20,611.15/162.07
  6. Step 6: Final answer
    x = 127.18

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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.