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Finding the Fourth Proportional to 86.82, 130.20 and 54.38

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Solution

The fourth proportional to 86.82, 130.20 and 54.38 is: 81.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.82 : 130.20 = 54.38 : x
  2. Step 2: Convert to fraction form
    86.82/130.20 = 54.38/x
  3. Step 3: Cross multiply
    86.82x = 130.20 × 54.38
  4. Step 4: Simplify right side
    86.82x = 7,080.28
  5. Step 5: Solve for x
    x = 7,080.28/86.82
  6. Step 6: Final answer
    x = 81.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.