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Finding the Fourth Proportional to 166.69, 229.97 and 101.17

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Solution

The fourth proportional to 166.69, 229.97 and 101.17 is: 139.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.69 : 229.97 = 101.17 : x
  2. Step 2: Convert to fraction form
    166.69/229.97 = 101.17/x
  3. Step 3: Cross multiply
    166.69x = 229.97 × 101.17
  4. Step 4: Simplify right side
    166.69x = 23,266.89
  5. Step 5: Solve for x
    x = 23,266.89/166.69
  6. Step 6: Final answer
    x = 139.58

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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.