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Finding the Fourth Proportional to 80.64, 120.94 and 26.53

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Solution

The fourth proportional to 80.64, 120.94 and 26.53 is: 39.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.64 : 120.94 = 26.53 : x
  2. Step 2: Convert to fraction form
    80.64/120.94 = 26.53/x
  3. Step 3: Cross multiply
    80.64x = 120.94 × 26.53
  4. Step 4: Simplify right side
    80.64x = 3,207.93
  5. Step 5: Solve for x
    x = 3,207.93/80.64
  6. Step 6: Final answer
    x = 39.78

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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.