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Finding the Fourth Proportional to 80.45, 120.67 and 19.58

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Solution

The fourth proportional to 80.45, 120.67 and 19.58 is: 29.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.45 : 120.67 = 19.58 : x
  2. Step 2: Convert to fraction form
    80.45/120.67 = 19.58/x
  3. Step 3: Cross multiply
    80.45x = 120.67 × 19.58
  4. Step 4: Simplify right side
    80.45x = 2,362.42
  5. Step 5: Solve for x
    x = 2,362.42/80.45
  6. Step 6: Final answer
    x = 29.37

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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.