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Finding the Fourth Proportional to 80.26, 120.32 and 46

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Solution

The fourth proportional to 80.26, 120.32 and 46 is: 68.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.26 : 120.32 = 46 : x
  2. Step 2: Convert to fraction form
    80.26/120.32 = 46/x
  3. Step 3: Cross multiply
    80.26x = 120.32 × 46
  4. Step 4: Simplify right side
    80.26x = 5,534.72
  5. Step 5: Solve for x
    x = 5,534.72/80.26
  6. Step 6: Final answer
    x = 68.96

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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.