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Finding the Fourth Proportional to 166.99, 230.41 and 101.51

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Solution

The fourth proportional to 166.99, 230.41 and 101.51 is: 140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.99 : 230.41 = 101.51 : x
  2. Step 2: Convert to fraction form
    166.99/230.41 = 101.51/x
  3. Step 3: Cross multiply
    166.99x = 230.41 × 101.51
  4. Step 4: Simplify right side
    166.99x = 23,388.92
  5. Step 5: Solve for x
    x = 23,388.92/166.99
  6. Step 6: Final answer
    x = 140.06

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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.