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Finding the Fourth Proportional to 86.23, 118.98 and 51.25

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Solution

The fourth proportional to 86.23, 118.98 and 51.25 is: 70.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.23 : 118.98 = 51.25 : x
  2. Step 2: Convert to fraction form
    86.23/118.98 = 51.25/x
  3. Step 3: Cross multiply
    86.23x = 118.98 × 51.25
  4. Step 4: Simplify right side
    86.23x = 6,097.73
  5. Step 5: Solve for x
    x = 6,097.73/86.23
  6. Step 6: Final answer
    x = 70.71

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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.