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Finding the Fourth Proportional to 80.10, 110.50 and 49

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Solution

The fourth proportional to 80.10, 110.50 and 49 is: 67.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.10 : 110.50 = 49 : x
  2. Step 2: Convert to fraction form
    80.10/110.50 = 49/x
  3. Step 3: Cross multiply
    80.10x = 110.50 × 49
  4. Step 4: Simplify right side
    80.10x = 5,414.50
  5. Step 5: Solve for x
    x = 5,414.50/80.10
  6. Step 6: Final answer
    x = 67.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.