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Finding the Fourth Proportional to 86.46, 129.54 and 52.12

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Solution

The fourth proportional to 86.46, 129.54 and 52.12 is: 78.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.46 : 129.54 = 52.12 : x
  2. Step 2: Convert to fraction form
    86.46/129.54 = 52.12/x
  3. Step 3: Cross multiply
    86.46x = 129.54 × 52.12
  4. Step 4: Simplify right side
    86.46x = 6,751.62
  5. Step 5: Solve for x
    x = 6,751.62/86.46
  6. Step 6: Final answer
    x = 78.09

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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.