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Finding the Fourth Proportional to 104.25, 156.42 and 40.17

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Solution

The fourth proportional to 104.25, 156.42 and 40.17 is: 60.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.25 : 156.42 = 40.17 : x
  2. Step 2: Convert to fraction form
    104.25/156.42 = 40.17/x
  3. Step 3: Cross multiply
    104.25x = 156.42 × 40.17
  4. Step 4: Simplify right side
    104.25x = 6,283.39
  5. Step 5: Solve for x
    x = 6,283.39/104.25
  6. Step 6: Final answer
    x = 60.27

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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.