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Finding the Fourth Proportional to 164.09, 246.09 and 48.52

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Solution

The fourth proportional to 164.09, 246.09 and 48.52 is: 72.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.09 : 246.09 = 48.52 : x
  2. Step 2: Convert to fraction form
    164.09/246.09 = 48.52/x
  3. Step 3: Cross multiply
    164.09x = 246.09 × 48.52
  4. Step 4: Simplify right side
    164.09x = 11,938.94
  5. Step 5: Solve for x
    x = 11,938.94/164.09
  6. Step 6: Final answer
    x = 72.76

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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.