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Finding the Fourth Proportional to 105.11, 144.27 and 93.20

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Solution

The fourth proportional to 105.11, 144.27 and 93.20 is: 127.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.11 : 144.27 = 93.20 : x
  2. Step 2: Convert to fraction form
    105.11/144.27 = 93.20/x
  3. Step 3: Cross multiply
    105.11x = 144.27 × 93.20
  4. Step 4: Simplify right side
    105.11x = 13,445.24
  5. Step 5: Solve for x
    x = 13,445.24/105.11
  6. Step 6: Final answer
    x = 127.92

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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.