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Finding the Fourth Proportional to 80.49, 110.40 and 70.77

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Solution

The fourth proportional to 80.49, 110.40 and 70.77 is: 97.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.49 : 110.40 = 70.77 : x
  2. Step 2: Convert to fraction form
    80.49/110.40 = 70.77/x
  3. Step 3: Cross multiply
    80.49x = 110.40 × 70.77
  4. Step 4: Simplify right side
    80.49x = 7,813.01
  5. Step 5: Solve for x
    x = 7,813.01/80.49
  6. Step 6: Final answer
    x = 97.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.