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Finding the Fourth Proportional to 120.38, 165.96 and 76.64

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Solution

The fourth proportional to 120.38, 165.96 and 76.64 is: 105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.38 : 165.96 = 76.64 : x
  2. Step 2: Convert to fraction form
    120.38/165.96 = 76.64/x
  3. Step 3: Cross multiply
    120.38x = 165.96 × 76.64
  4. Step 4: Simplify right side
    120.38x = 12,718.34
  5. Step 5: Solve for x
    x = 12,718.34/120.38
  6. Step 6: Final answer
    x = 105.66

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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.