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Finding the Fourth Proportional to 86.96, 120.08 and 83.05

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Solution

The fourth proportional to 86.96, 120.08 and 83.05 is: 114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.96 : 120.08 = 83.05 : x
  2. Step 2: Convert to fraction form
    86.96/120.08 = 83.05/x
  3. Step 3: Cross multiply
    86.96x = 120.08 × 83.05
  4. Step 4: Simplify right side
    86.96x = 9,972.64
  5. Step 5: Solve for x
    x = 9,972.64/86.96
  6. Step 6: Final answer
    x = 114.68

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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.