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Finding the Fourth Proportional to 166.36, 229.61 and 107.42

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Solution

The fourth proportional to 166.36, 229.61 and 107.42 is: 148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.36 : 229.61 = 107.42 : x
  2. Step 2: Convert to fraction form
    166.36/229.61 = 107.42/x
  3. Step 3: Cross multiply
    166.36x = 229.61 × 107.42
  4. Step 4: Simplify right side
    166.36x = 24,664.04
  5. Step 5: Solve for x
    x = 24,664.04/166.36
  6. Step 6: Final answer
    x = 148.26

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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.