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Finding the Fourth Proportional to 166.58, 229.85 and 100.21

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Solution

The fourth proportional to 166.58, 229.85 and 100.21 is: 138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.58 : 229.85 = 100.21 : x
  2. Step 2: Convert to fraction form
    166.58/229.85 = 100.21/x
  3. Step 3: Cross multiply
    166.58x = 229.85 × 100.21
  4. Step 4: Simplify right side
    166.58x = 23,032.94
  5. Step 5: Solve for x
    x = 23,032.94/166.58
  6. Step 6: Final answer
    x = 138.27

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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.