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Finding the Fourth Proportional to 80.03, 110.35 and 69.64

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Solution

The fourth proportional to 80.03, 110.35 and 69.64 is: 96.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.03 : 110.35 = 69.64 : x
  2. Step 2: Convert to fraction form
    80.03/110.35 = 69.64/x
  3. Step 3: Cross multiply
    80.03x = 110.35 × 69.64
  4. Step 4: Simplify right side
    80.03x = 7,685.21
  5. Step 5: Solve for x
    x = 7,685.21/80.03
  6. Step 6: Final answer
    x = 96.03

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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.