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Finding the Fourth Proportional to 105.39, 158.10 and 54.09

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Solution

The fourth proportional to 105.39, 158.10 and 54.09 is: 81.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.39 : 158.10 = 54.09 : x
  2. Step 2: Convert to fraction form
    105.39/158.10 = 54.09/x
  3. Step 3: Cross multiply
    105.39x = 158.10 × 54.09
  4. Step 4: Simplify right side
    105.39x = 8,551.63
  5. Step 5: Solve for x
    x = 8,551.63/105.39
  6. Step 6: Final answer
    x = 81.14

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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.