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Finding the Fourth Proportional to 93.56, 128.92 and 81.92

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Solution

The fourth proportional to 93.56, 128.92 and 81.92 is: 112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.56 : 128.92 = 81.92 : x
  2. Step 2: Convert to fraction form
    93.56/128.92 = 81.92/x
  3. Step 3: Cross multiply
    93.56x = 128.92 × 81.92
  4. Step 4: Simplify right side
    93.56x = 10,561.13
  5. Step 5: Solve for x
    x = 10,561.13/93.56
  6. Step 6: Final answer
    x = 112.88

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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.