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Finding the Fourth Proportional to 81.06, 111.84 and 47.86

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Solution

The fourth proportional to 81.06, 111.84 and 47.86 is: 66.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.06 : 111.84 = 47.86 : x
  2. Step 2: Convert to fraction form
    81.06/111.84 = 47.86/x
  3. Step 3: Cross multiply
    81.06x = 111.84 × 47.86
  4. Step 4: Simplify right side
    81.06x = 5,352.66
  5. Step 5: Solve for x
    x = 5,352.66/81.06
  6. Step 6: Final answer
    x = 66.03

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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.