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Finding the Fourth Proportional to 80.51, 120.83 and 65.39

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Solution

The fourth proportional to 80.51, 120.83 and 65.39 is: 98.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.51 : 120.83 = 65.39 : x
  2. Step 2: Convert to fraction form
    80.51/120.83 = 65.39/x
  3. Step 3: Cross multiply
    80.51x = 120.83 × 65.39
  4. Step 4: Simplify right side
    80.51x = 7,900.14
  5. Step 5: Solve for x
    x = 7,900.14/80.51
  6. Step 6: Final answer
    x = 98.13

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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.