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Finding the Fourth Proportional to 162.81, 243.96 and 81.54

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Solution

The fourth proportional to 162.81, 243.96 and 81.54 is: 122.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.81 : 243.96 = 81.54 : x
  2. Step 2: Convert to fraction form
    162.81/243.96 = 81.54/x
  3. Step 3: Cross multiply
    162.81x = 243.96 × 81.54
  4. Step 4: Simplify right side
    162.81x = 19,892.50
  5. Step 5: Solve for x
    x = 19,892.50/162.81
  6. Step 6: Final answer
    x = 122.18

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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.