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Finding the Fourth Proportional to 166.42, 229.65 and 104.28

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Solution

The fourth proportional to 166.42, 229.65 and 104.28 is: 143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.42 : 229.65 = 104.28 : x
  2. Step 2: Convert to fraction form
    166.42/229.65 = 104.28/x
  3. Step 3: Cross multiply
    166.42x = 229.65 × 104.28
  4. Step 4: Simplify right side
    166.42x = 23,948.26
  5. Step 5: Solve for x
    x = 23,948.26/166.42
  6. Step 6: Final answer
    x = 143.91

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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.