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Finding the Fourth Proportional to 164.68, 247.08 and 73.46

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Solution

The fourth proportional to 164.68, 247.08 and 73.46 is: 110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.68 : 247.08 = 73.46 : x
  2. Step 2: Convert to fraction form
    164.68/247.08 = 73.46/x
  3. Step 3: Cross multiply
    164.68x = 247.08 × 73.46
  4. Step 4: Simplify right side
    164.68x = 18,150.50
  5. Step 5: Solve for x
    x = 18,150.50/164.68
  6. Step 6: Final answer
    x = 110.22

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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.