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Finding the Fourth Proportional to 81.15, 120.90 and 77.28

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Solution

The fourth proportional to 81.15, 120.90 and 77.28 is: 115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.15 : 120.90 = 77.28 : x
  2. Step 2: Convert to fraction form
    81.15/120.90 = 77.28/x
  3. Step 3: Cross multiply
    81.15x = 120.90 × 77.28
  4. Step 4: Simplify right side
    81.15x = 9,342.77
  5. Step 5: Solve for x
    x = 9,342.77/81.15
  6. Step 6: Final answer
    x = 115.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.