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Finding the Fourth Proportional to 105.54, 144.79 and 102.70

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Solution

The fourth proportional to 105.54, 144.79 and 102.70 is: 140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.54 : 144.79 = 102.70 : x
  2. Step 2: Convert to fraction form
    105.54/144.79 = 102.70/x
  3. Step 3: Cross multiply
    105.54x = 144.79 × 102.70
  4. Step 4: Simplify right side
    105.54x = 14,868.70
  5. Step 5: Solve for x
    x = 14,868.70/105.54
  6. Step 6: Final answer
    x = 140.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.