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Finding the Fourth Proportional to 166.53, 229.74 and 104.34

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Solution

The fourth proportional to 166.53, 229.74 and 104.34 is: 143.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.53 : 229.74 = 104.34 : x
  2. Step 2: Convert to fraction form
    166.53/229.74 = 104.34/x
  3. Step 3: Cross multiply
    166.53x = 229.74 × 104.34
  4. Step 4: Simplify right side
    166.53x = 23,971.07
  5. Step 5: Solve for x
    x = 23,971.07/166.53
  6. Step 6: Final answer
    x = 143.94

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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.