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Finding the Fourth Proportional to 166.77, 230.34 and 111.42

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Solution

The fourth proportional to 166.77, 230.34 and 111.42 is: 153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.77 : 230.34 = 111.42 : x
  2. Step 2: Convert to fraction form
    166.77/230.34 = 111.42/x
  3. Step 3: Cross multiply
    166.77x = 230.34 × 111.42
  4. Step 4: Simplify right side
    166.77x = 25,664.48
  5. Step 5: Solve for x
    x = 25,664.48/166.77
  6. Step 6: Final answer
    x = 153.89

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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.