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Finding the Fourth Proportional to 86.82, 120.04 and 76.02

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Solution

The fourth proportional to 86.82, 120.04 and 76.02 is: 105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.82 : 120.04 = 76.02 : x
  2. Step 2: Convert to fraction form
    86.82/120.04 = 76.02/x
  3. Step 3: Cross multiply
    86.82x = 120.04 × 76.02
  4. Step 4: Simplify right side
    86.82x = 9,125.44
  5. Step 5: Solve for x
    x = 9,125.44/86.82
  6. Step 6: Final answer
    x = 105.11

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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.