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Finding the Fourth Proportional to 105.39, 158.08 and 54.02

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Solution

The fourth proportional to 105.39, 158.08 and 54.02 is: 81.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.39 : 158.08 = 54.02 : x
  2. Step 2: Convert to fraction form
    105.39/158.08 = 54.02/x
  3. Step 3: Cross multiply
    105.39x = 158.08 × 54.02
  4. Step 4: Simplify right side
    105.39x = 8,539.48
  5. Step 5: Solve for x
    x = 8,539.48/105.39
  6. Step 6: Final answer
    x = 81.03

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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.