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Finding the Fourth Proportional to 80.64, 120.72 and 51.66

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Solution

The fourth proportional to 80.64, 120.72 and 51.66 is: 77.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.64 : 120.72 = 51.66 : x
  2. Step 2: Convert to fraction form
    80.64/120.72 = 51.66/x
  3. Step 3: Cross multiply
    80.64x = 120.72 × 51.66
  4. Step 4: Simplify right side
    80.64x = 6,236.40
  5. Step 5: Solve for x
    x = 6,236.40/80.64
  6. Step 6: Final answer
    x = 77.34

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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.