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Finding the Fourth Proportional to 86.07, 118.78 and 46.73

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Solution

The fourth proportional to 86.07, 118.78 and 46.73 is: 64.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.07 : 118.78 = 46.73 : x
  2. Step 2: Convert to fraction form
    86.07/118.78 = 46.73/x
  3. Step 3: Cross multiply
    86.07x = 118.78 × 46.73
  4. Step 4: Simplify right side
    86.07x = 5,551.03
  5. Step 5: Solve for x
    x = 5,551.03/86.07
  6. Step 6: Final answer
    x = 64.49

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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.