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Finding the Fourth Proportional to 166.41, 229.66 and 100.03

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Solution

The fourth proportional to 166.41, 229.66 and 100.03 is: 138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.41 : 229.66 = 100.03 : x
  2. Step 2: Convert to fraction form
    166.41/229.66 = 100.03/x
  3. Step 3: Cross multiply
    166.41x = 229.66 × 100.03
  4. Step 4: Simplify right side
    166.41x = 22,974.02
  5. Step 5: Solve for x
    x = 22,974.02/166.41
  6. Step 6: Final answer
    x = 138.05

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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.