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Finding the Fourth Proportional to 80.65, 120.94 and 26.52

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Solution

The fourth proportional to 80.65, 120.94 and 26.52 is: 39.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.65 : 120.94 = 26.52 : x
  2. Step 2: Convert to fraction form
    80.65/120.94 = 26.52/x
  3. Step 3: Cross multiply
    80.65x = 120.94 × 26.52
  4. Step 4: Simplify right side
    80.65x = 3,207.33
  5. Step 5: Solve for x
    x = 3,207.33/80.65
  6. Step 6: Final answer
    x = 39.77

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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.