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Finding the Fourth Proportional to 166.73, 230.10 and 93.05

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Solution

The fourth proportional to 166.73, 230.10 and 93.05 is: 128.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.73 : 230.10 = 93.05 : x
  2. Step 2: Convert to fraction form
    166.73/230.10 = 93.05/x
  3. Step 3: Cross multiply
    166.73x = 230.10 × 93.05
  4. Step 4: Simplify right side
    166.73x = 21,410.81
  5. Step 5: Solve for x
    x = 21,410.81/166.73
  6. Step 6: Final answer
    x = 128.42

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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.