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Finding the Fourth Proportional to 93.66, 129.09 and 85.92

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Solution

The fourth proportional to 93.66, 129.09 and 85.92 is: 118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.66 : 129.09 = 85.92 : x
  2. Step 2: Convert to fraction form
    93.66/129.09 = 85.92/x
  3. Step 3: Cross multiply
    93.66x = 129.09 × 85.92
  4. Step 4: Simplify right side
    93.66x = 11,091.41
  5. Step 5: Solve for x
    x = 11,091.41/93.66
  6. Step 6: Final answer
    x = 118.42

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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.