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Finding the Fourth Proportional to 80.64, 120.96 and 35.02

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Solution

The fourth proportional to 80.64, 120.96 and 35.02 is: 52.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.64 : 120.96 = 35.02 : x
  2. Step 2: Convert to fraction form
    80.64/120.96 = 35.02/x
  3. Step 3: Cross multiply
    80.64x = 120.96 × 35.02
  4. Step 4: Simplify right side
    80.64x = 4,236.02
  5. Step 5: Solve for x
    x = 4,236.02/80.64
  6. Step 6: Final answer
    x = 52.53

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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.