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Finding the Fourth Proportional to 80.26, 110.74 and 47.51

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Solution

The fourth proportional to 80.26, 110.74 and 47.51 is: 65.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.26 : 110.74 = 47.51 : x
  2. Step 2: Convert to fraction form
    80.26/110.74 = 47.51/x
  3. Step 3: Cross multiply
    80.26x = 110.74 × 47.51
  4. Step 4: Simplify right side
    80.26x = 5,261.42
  5. Step 5: Solve for x
    x = 5,261.42/80.26
  6. Step 6: Final answer
    x = 65.56

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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.