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Finding the Fourth Proportional to 104.57, 156.85 and 27.54

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Solution

The fourth proportional to 104.57, 156.85 and 27.54 is: 41.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.57 : 156.85 = 27.54 : x
  2. Step 2: Convert to fraction form
    104.57/156.85 = 27.54/x
  3. Step 3: Cross multiply
    104.57x = 156.85 × 27.54
  4. Step 4: Simplify right side
    104.57x = 4,320.10
  5. Step 5: Solve for x
    x = 4,320.10/104.57
  6. Step 6: Final answer
    x = 41.31

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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.