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Finding the Fourth Proportional to 166.75, 230.10 and 100.35

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Solution

The fourth proportional to 166.75, 230.10 and 100.35 is: 138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.75 : 230.10 = 100.35 : x
  2. Step 2: Convert to fraction form
    166.75/230.10 = 100.35/x
  3. Step 3: Cross multiply
    166.75x = 230.10 × 100.35
  4. Step 4: Simplify right side
    166.75x = 23,091.19
  5. Step 5: Solve for x
    x = 23,091.19/166.75
  6. Step 6: Final answer
    x = 138.48

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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.