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Finding the Fourth Proportional to 164.64, 246.92 and 49.05

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Solution

The fourth proportional to 164.64, 246.92 and 49.05 is: 73.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.64 : 246.92 = 49.05 : x
  2. Step 2: Convert to fraction form
    164.64/246.92 = 49.05/x
  3. Step 3: Cross multiply
    164.64x = 246.92 × 49.05
  4. Step 4: Simplify right side
    164.64x = 12,111.43
  5. Step 5: Solve for x
    x = 12,111.43/164.64
  6. Step 6: Final answer
    x = 73.56

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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.