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Finding the Fourth Proportional to 162.68, 243.88 and 81.38

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Solution

The fourth proportional to 162.68, 243.88 and 81.38 is: 122.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.68 : 243.88 = 81.38 : x
  2. Step 2: Convert to fraction form
    162.68/243.88 = 81.38/x
  3. Step 3: Cross multiply
    162.68x = 243.88 × 81.38
  4. Step 4: Simplify right side
    162.68x = 19,846.95
  5. Step 5: Solve for x
    x = 19,846.95/162.68
  6. Step 6: Final answer
    x = 122.00

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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.