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Finding the Fourth Proportional to 105.69, 158.54 and 54.38

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Solution

The fourth proportional to 105.69, 158.54 and 54.38 is: 81.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.69 : 158.54 = 54.38 : x
  2. Step 2: Convert to fraction form
    105.69/158.54 = 54.38/x
  3. Step 3: Cross multiply
    105.69x = 158.54 × 54.38
  4. Step 4: Simplify right side
    105.69x = 8,620.34
  5. Step 5: Solve for x
    x = 8,620.34/105.69
  6. Step 6: Final answer
    x = 81.56

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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.