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Finding the Fourth Proportional to 162.12, 243.22 and 76.62

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Solution

The fourth proportional to 162.12, 243.22 and 76.62 is: 114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.12 : 243.22 = 76.62 : x
  2. Step 2: Convert to fraction form
    162.12/243.22 = 76.62/x
  3. Step 3: Cross multiply
    162.12x = 243.22 × 76.62
  4. Step 4: Simplify right side
    162.12x = 18,635.52
  5. Step 5: Solve for x
    x = 18,635.52/162.12
  6. Step 6: Final answer
    x = 114.95

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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.