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Finding the Fourth Proportional to 105.14, 156.94 and 104.24

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Solution

The fourth proportional to 105.14, 156.94 and 104.24 is: 155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.14 : 156.94 = 104.24 : x
  2. Step 2: Convert to fraction form
    105.14/156.94 = 104.24/x
  3. Step 3: Cross multiply
    105.14x = 156.94 × 104.24
  4. Step 4: Simplify right side
    105.14x = 16,359.43
  5. Step 5: Solve for x
    x = 16,359.43/105.14
  6. Step 6: Final answer
    x = 155.60

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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.