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Finding the Fourth Proportional to 166.52, 229.79 and 100.13

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Solution

The fourth proportional to 166.52, 229.79 and 100.13 is: 138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.52 : 229.79 = 100.13 : x
  2. Step 2: Convert to fraction form
    166.52/229.79 = 100.13/x
  3. Step 3: Cross multiply
    166.52x = 229.79 × 100.13
  4. Step 4: Simplify right side
    166.52x = 23,008.87
  5. Step 5: Solve for x
    x = 23,008.87/166.52
  6. Step 6: Final answer
    x = 138.17

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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.