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Finding the Fourth Proportional to 105.86, 158.70 and 54.39

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Solution

The fourth proportional to 105.86, 158.70 and 54.39 is: 81.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.86 : 158.70 = 54.39 : x
  2. Step 2: Convert to fraction form
    105.86/158.70 = 54.39/x
  3. Step 3: Cross multiply
    105.86x = 158.70 × 54.39
  4. Step 4: Simplify right side
    105.86x = 8,632.49
  5. Step 5: Solve for x
    x = 8,632.49/105.86
  6. Step 6: Final answer
    x = 81.54

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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.