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Finding the Fourth Proportional to 86.67, 129.65 and 54.09

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Solution

The fourth proportional to 86.67, 129.65 and 54.09 is: 80.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.67 : 129.65 = 54.09 : x
  2. Step 2: Convert to fraction form
    86.67/129.65 = 54.09/x
  3. Step 3: Cross multiply
    86.67x = 129.65 × 54.09
  4. Step 4: Simplify right side
    86.67x = 7,012.50
  5. Step 5: Solve for x
    x = 7,012.50/86.67
  6. Step 6: Final answer
    x = 80.91

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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.