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Finding the Fourth Proportional to 104.24, 156.22 and 50.02

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Solution

The fourth proportional to 104.24, 156.22 and 50.02 is: 74.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.24 : 156.22 = 50.02 : x
  2. Step 2: Convert to fraction form
    104.24/156.22 = 50.02/x
  3. Step 3: Cross multiply
    104.24x = 156.22 × 50.02
  4. Step 4: Simplify right side
    104.24x = 7,814.12
  5. Step 5: Solve for x
    x = 7,814.12/104.24
  6. Step 6: Final answer
    x = 74.96

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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.