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Finding the Fourth Proportional to 164.00, 245.92 and 48.44

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Solution

The fourth proportional to 164.00, 245.92 and 48.44 is: 72.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.00 : 245.92 = 48.44 : x
  2. Step 2: Convert to fraction form
    164.00/245.92 = 48.44/x
  3. Step 3: Cross multiply
    164.00x = 245.92 × 48.44
  4. Step 4: Simplify right side
    164.00x = 11,911.01
  5. Step 5: Solve for x
    x = 11,911.01/164.00
  6. Step 6: Final answer
    x = 72.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.