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Finding the Fourth Proportional to 166.51, 230.03 and 123.09

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Solution

The fourth proportional to 166.51, 230.03 and 123.09 is: 170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.51 : 230.03 = 123.09 : x
  2. Step 2: Convert to fraction form
    166.51/230.03 = 123.09/x
  3. Step 3: Cross multiply
    166.51x = 230.03 × 123.09
  4. Step 4: Simplify right side
    166.51x = 28,314.39
  5. Step 5: Solve for x
    x = 28,314.39/166.51
  6. Step 6: Final answer
    x = 170.05

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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.