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Finding the Fourth Proportional to 80.49, 120.06 and 77.82

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Solution

The fourth proportional to 80.49, 120.06 and 77.82 is: 116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.49 : 120.06 = 77.82 : x
  2. Step 2: Convert to fraction form
    80.49/120.06 = 77.82/x
  3. Step 3: Cross multiply
    80.49x = 120.06 × 77.82
  4. Step 4: Simplify right side
    80.49x = 9,343.07
  5. Step 5: Solve for x
    x = 9,343.07/80.49
  6. Step 6: Final answer
    x = 116.08

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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.