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Finding the Fourth Proportional to 93.94, 129.38 and 81.66

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Solution

The fourth proportional to 93.94, 129.38 and 81.66 is: 112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.94 : 129.38 = 81.66 : x
  2. Step 2: Convert to fraction form
    93.94/129.38 = 81.66/x
  3. Step 3: Cross multiply
    93.94x = 129.38 × 81.66
  4. Step 4: Simplify right side
    93.94x = 10,565.17
  5. Step 5: Solve for x
    x = 10,565.17/93.94
  6. Step 6: Final answer
    x = 112.47

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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.