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Finding the Fourth Proportional to 104.10, 156.14 and 49.97

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Solution

The fourth proportional to 104.10, 156.14 and 49.97 is: 74.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.10 : 156.14 = 49.97 : x
  2. Step 2: Convert to fraction form
    104.10/156.14 = 49.97/x
  3. Step 3: Cross multiply
    104.10x = 156.14 × 49.97
  4. Step 4: Simplify right side
    104.10x = 7,801.47
  5. Step 5: Solve for x
    x = 7,801.47/104.10
  6. Step 6: Final answer
    x = 74.94

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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.