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Finding the Fourth Proportional to 164.16, 246.46 and 103.52

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Solution

The fourth proportional to 164.16, 246.46 and 103.52 is: 155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.16 : 246.46 = 103.52 : x
  2. Step 2: Convert to fraction form
    164.16/246.46 = 103.52/x
  3. Step 3: Cross multiply
    164.16x = 246.46 × 103.52
  4. Step 4: Simplify right side
    164.16x = 25,513.54
  5. Step 5: Solve for x
    x = 25,513.54/164.16
  6. Step 6: Final answer
    x = 155.42

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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.