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Finding the Fourth Proportional to 105.12, 144.75 and 102.85

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Solution

The fourth proportional to 105.12, 144.75 and 102.85 is: 141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.12 : 144.75 = 102.85 : x
  2. Step 2: Convert to fraction form
    105.12/144.75 = 102.85/x
  3. Step 3: Cross multiply
    105.12x = 144.75 × 102.85
  4. Step 4: Simplify right side
    105.12x = 14,887.54
  5. Step 5: Solve for x
    x = 14,887.54/105.12
  6. Step 6: Final answer
    x = 141.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.