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Finding the Fourth Proportional to 80.95, 111.65 and 51.83

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Solution

The fourth proportional to 80.95, 111.65 and 51.83 is: 71.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.95 : 111.65 = 51.83 : x
  2. Step 2: Convert to fraction form
    80.95/111.65 = 51.83/x
  3. Step 3: Cross multiply
    80.95x = 111.65 × 51.83
  4. Step 4: Simplify right side
    80.95x = 5,786.26
  5. Step 5: Solve for x
    x = 5,786.26/80.95
  6. Step 6: Final answer
    x = 71.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.