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Finding the Fourth Proportional to 166.34, 249.46 and 70.13

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Solution

The fourth proportional to 166.34, 249.46 and 70.13 is: 105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.34 : 249.46 = 70.13 : x
  2. Step 2: Convert to fraction form
    166.34/249.46 = 70.13/x
  3. Step 3: Cross multiply
    166.34x = 249.46 × 70.13
  4. Step 4: Simplify right side
    166.34x = 17,493.21
  5. Step 5: Solve for x
    x = 17,493.21/166.34
  6. Step 6: Final answer
    x = 105.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.