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Finding the Fourth Proportional to 166.96, 230.40 and 101.52

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Solution

The fourth proportional to 166.96, 230.40 and 101.52 is: 140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.96 : 230.40 = 101.52 : x
  2. Step 2: Convert to fraction form
    166.96/230.40 = 101.52/x
  3. Step 3: Cross multiply
    166.96x = 230.40 × 101.52
  4. Step 4: Simplify right side
    166.96x = 23,390.21
  5. Step 5: Solve for x
    x = 23,390.21/166.96
  6. Step 6: Final answer
    x = 140.09

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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.