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Finding the Fourth Proportional to 164.35, 246.63 and 73.08

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Solution

The fourth proportional to 164.35, 246.63 and 73.08 is: 109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.35 : 246.63 = 73.08 : x
  2. Step 2: Convert to fraction form
    164.35/246.63 = 73.08/x
  3. Step 3: Cross multiply
    164.35x = 246.63 × 73.08
  4. Step 4: Simplify right side
    164.35x = 18,023.72
  5. Step 5: Solve for x
    x = 18,023.72/164.35
  6. Step 6: Final answer
    x = 109.67

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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.