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Finding the Fourth Proportional to 166.64, 230.09 and 101.24

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Solution

The fourth proportional to 166.64, 230.09 and 101.24 is: 139.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.64 : 230.09 = 101.24 : x
  2. Step 2: Convert to fraction form
    166.64/230.09 = 101.24/x
  3. Step 3: Cross multiply
    166.64x = 230.09 × 101.24
  4. Step 4: Simplify right side
    166.64x = 23,292.65
  5. Step 5: Solve for x
    x = 23,292.65/166.64
  6. Step 6: Final answer
    x = 139.78

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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.