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Finding the Fourth Proportional to 166.87, 230.28 and 104.72

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Solution

The fourth proportional to 166.87, 230.28 and 104.72 is: 144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.87 : 230.28 = 104.72 : x
  2. Step 2: Convert to fraction form
    166.87/230.28 = 104.72/x
  3. Step 3: Cross multiply
    166.87x = 230.28 × 104.72
  4. Step 4: Simplify right side
    166.87x = 24,114.47
  5. Step 5: Solve for x
    x = 24,114.47/166.87
  6. Step 6: Final answer
    x = 144.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.