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Finding the Fourth Proportional to 80.64, 110.92 and 65

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Solution

The fourth proportional to 80.64, 110.92 and 65 is: 89.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.64 : 110.92 = 65 : x
  2. Step 2: Convert to fraction form
    80.64/110.92 = 65/x
  3. Step 3: Cross multiply
    80.64x = 110.92 × 65
  4. Step 4: Simplify right side
    80.64x = 7,209.80
  5. Step 5: Solve for x
    x = 7,209.80/80.64
  6. Step 6: Final answer
    x = 89.41

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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.