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Finding the Fourth Proportional to 80.00, 120 and 45.77

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Solution

The fourth proportional to 80.00, 120 and 45.77 is: 68.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.00 : 120 = 45.77 : x
  2. Step 2: Convert to fraction form
    80.00/120 = 45.77/x
  3. Step 3: Cross multiply
    80.00x = 120 × 45.77
  4. Step 4: Simplify right side
    80.00x = 5,491.80
  5. Step 5: Solve for x
    x = 5,491.80/80.00
  6. Step 6: Final answer
    x = 68.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.