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Finding the Fourth Proportional to 80.10, 119.43 and 76.77

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Solution

The fourth proportional to 80.10, 119.43 and 76.77 is: 114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.10 : 119.43 = 76.77 : x
  2. Step 2: Convert to fraction form
    80.10/119.43 = 76.77/x
  3. Step 3: Cross multiply
    80.10x = 119.43 × 76.77
  4. Step 4: Simplify right side
    80.10x = 9,168.64
  5. Step 5: Solve for x
    x = 9,168.64/80.10
  6. Step 6: Final answer
    x = 114.46

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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.