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Finding the Fourth Proportional to 164.45, 247.14 and 96.03

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Solution

The fourth proportional to 164.45, 247.14 and 96.03 is: 144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.45 : 247.14 = 96.03 : x
  2. Step 2: Convert to fraction form
    164.45/247.14 = 96.03/x
  3. Step 3: Cross multiply
    164.45x = 247.14 × 96.03
  4. Step 4: Simplify right side
    164.45x = 23,732.85
  5. Step 5: Solve for x
    x = 23,732.85/164.45
  6. Step 6: Final answer
    x = 144.31

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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.