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Finding the Fourth Proportional to 105.54, 157.61 and 104.41

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Solution

The fourth proportional to 105.54, 157.61 and 104.41 is: 155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.54 : 157.61 = 104.41 : x
  2. Step 2: Convert to fraction form
    105.54/157.61 = 104.41/x
  3. Step 3: Cross multiply
    105.54x = 157.61 × 104.41
  4. Step 4: Simplify right side
    105.54x = 16,456.06
  5. Step 5: Solve for x
    x = 16,456.06/105.54
  6. Step 6: Final answer
    x = 155.92

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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.