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Finding the Fourth Proportional to 166.41, 229.62 and 100.02

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Solution

The fourth proportional to 166.41, 229.62 and 100.02 is: 138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.41 : 229.62 = 100.02 : x
  2. Step 2: Convert to fraction form
    166.41/229.62 = 100.02/x
  3. Step 3: Cross multiply
    166.41x = 229.62 × 100.02
  4. Step 4: Simplify right side
    166.41x = 22,967.83
  5. Step 5: Solve for x
    x = 22,967.83/166.41
  6. Step 6: Final answer
    x = 138.02

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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.