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Finding the Fourth Proportional to 104.69, 156.86 and 92.47

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Solution

The fourth proportional to 104.69, 156.86 and 92.47 is: 138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.69 : 156.86 = 92.47 : x
  2. Step 2: Convert to fraction form
    104.69/156.86 = 92.47/x
  3. Step 3: Cross multiply
    104.69x = 156.86 × 92.47
  4. Step 4: Simplify right side
    104.69x = 14,504.68
  5. Step 5: Solve for x
    x = 14,504.68/104.69
  6. Step 6: Final answer
    x = 138.56

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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.