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Finding the Fourth Proportional to 166.01, 248.96 and 68.51

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Solution

The fourth proportional to 166.01, 248.96 and 68.51 is: 102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.01 : 248.96 = 68.51 : x
  2. Step 2: Convert to fraction form
    166.01/248.96 = 68.51/x
  3. Step 3: Cross multiply
    166.01x = 248.96 × 68.51
  4. Step 4: Simplify right side
    166.01x = 17,054.66
  5. Step 5: Solve for x
    x = 17,054.66/166.01
  6. Step 6: Final answer
    x = 102.74

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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.