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Finding the Fourth Proportional to 80.09, 110.43 and 61.70

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Solution

The fourth proportional to 80.09, 110.43 and 61.70 is: 85.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.09 : 110.43 = 61.70 : x
  2. Step 2: Convert to fraction form
    80.09/110.43 = 61.70/x
  3. Step 3: Cross multiply
    80.09x = 110.43 × 61.70
  4. Step 4: Simplify right side
    80.09x = 6,812.98
  5. Step 5: Solve for x
    x = 6,812.98/80.09
  6. Step 6: Final answer
    x = 85.07

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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.