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Finding the Fourth Proportional to 86.54, 129.90 and 54.50

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Solution

The fourth proportional to 86.54, 129.90 and 54.50 is: 81.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.54 : 129.90 = 54.50 : x
  2. Step 2: Convert to fraction form
    86.54/129.90 = 54.50/x
  3. Step 3: Cross multiply
    86.54x = 129.90 × 54.50
  4. Step 4: Simplify right side
    86.54x = 7,079.55
  5. Step 5: Solve for x
    x = 7,079.55/86.54
  6. Step 6: Final answer
    x = 81.81

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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.