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Finding the Fourth Proportional to 104.74, 156.20 and 102.92

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Solution

The fourth proportional to 104.74, 156.20 and 102.92 is: 153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.74 : 156.20 = 102.92 : x
  2. Step 2: Convert to fraction form
    104.74/156.20 = 102.92/x
  3. Step 3: Cross multiply
    104.74x = 156.20 × 102.92
  4. Step 4: Simplify right side
    104.74x = 16,076.10
  5. Step 5: Solve for x
    x = 16,076.10/104.74
  6. Step 6: Final answer
    x = 153.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.