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Finding the Fourth Proportional to 164.37, 246.38 and 73.01

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Solution

The fourth proportional to 164.37, 246.38 and 73.01 is: 109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.37 : 246.38 = 73.01 : x
  2. Step 2: Convert to fraction form
    164.37/246.38 = 73.01/x
  3. Step 3: Cross multiply
    164.37x = 246.38 × 73.01
  4. Step 4: Simplify right side
    164.37x = 17,989.11
  5. Step 5: Solve for x
    x = 17,989.11/164.37
  6. Step 6: Final answer
    x = 109.44

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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.