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Finding the Fourth Proportional to 164.34, 246.46 and 73.11

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Solution

The fourth proportional to 164.34, 246.46 and 73.11 is: 109.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.34 : 246.46 = 73.11 : x
  2. Step 2: Convert to fraction form
    164.34/246.46 = 73.11/x
  3. Step 3: Cross multiply
    164.34x = 246.46 × 73.11
  4. Step 4: Simplify right side
    164.34x = 18,018.69
  5. Step 5: Solve for x
    x = 18,018.69/164.34
  6. Step 6: Final answer
    x = 109.64

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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.