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Finding the Fourth Proportional to 80.55, 120.89 and 34.93

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Solution

The fourth proportional to 80.55, 120.89 and 34.93 is: 52.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.55 : 120.89 = 34.93 : x
  2. Step 2: Convert to fraction form
    80.55/120.89 = 34.93/x
  3. Step 3: Cross multiply
    80.55x = 120.89 × 34.93
  4. Step 4: Simplify right side
    80.55x = 4,222.82
  5. Step 5: Solve for x
    x = 4,222.82/80.55
  6. Step 6: Final answer
    x = 52.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.