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Finding the Fourth Proportional to 120.30, 165.96 and 73.64

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Solution

The fourth proportional to 120.30, 165.96 and 73.64 is: 101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.30 : 165.96 = 73.64 : x
  2. Step 2: Convert to fraction form
    120.30/165.96 = 73.64/x
  3. Step 3: Cross multiply
    120.30x = 165.96 × 73.64
  4. Step 4: Simplify right side
    120.30x = 12,221.29
  5. Step 5: Solve for x
    x = 12,221.29/120.30
  6. Step 6: Final answer
    x = 101.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.