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Finding the Fourth Proportional to 80.95, 120.76 and 71.95

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Solution

The fourth proportional to 80.95, 120.76 and 71.95 is: 107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.95 : 120.76 = 71.95 : x
  2. Step 2: Convert to fraction form
    80.95/120.76 = 71.95/x
  3. Step 3: Cross multiply
    80.95x = 120.76 × 71.95
  4. Step 4: Simplify right side
    80.95x = 8,688.68
  5. Step 5: Solve for x
    x = 8,688.68/80.95
  6. Step 6: Final answer
    x = 107.33

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Why These Related Problems?

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