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Finding the Fourth Proportional to 80.77, 111.48 and 51.28

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Solution

The fourth proportional to 80.77, 111.48 and 51.28 is: 70.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.77 : 111.48 = 51.28 : x
  2. Step 2: Convert to fraction form
    80.77/111.48 = 51.28/x
  3. Step 3: Cross multiply
    80.77x = 111.48 × 51.28
  4. Step 4: Simplify right side
    80.77x = 5,717.10
  5. Step 5: Solve for x
    x = 5,717.10/80.77
  6. Step 6: Final answer
    x = 70.78

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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.