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Finding the Fourth Proportional to 164.15, 246.13 and 81.89

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Solution

The fourth proportional to 164.15, 246.13 and 81.89 is: 122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.15 : 246.13 = 81.89 : x
  2. Step 2: Convert to fraction form
    164.15/246.13 = 81.89/x
  3. Step 3: Cross multiply
    164.15x = 246.13 × 81.89
  4. Step 4: Simplify right side
    164.15x = 20,155.07
  5. Step 5: Solve for x
    x = 20,155.07/164.15
  6. Step 6: Final answer
    x = 122.79

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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.