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Finding the Fourth Proportional to 166.81, 230.18 and 93.12

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Solution

The fourth proportional to 166.81, 230.18 and 93.12 is: 128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.81 : 230.18 = 93.12 : x
  2. Step 2: Convert to fraction form
    166.81/230.18 = 93.12/x
  3. Step 3: Cross multiply
    166.81x = 230.18 × 93.12
  4. Step 4: Simplify right side
    166.81x = 21,433.90
  5. Step 5: Solve for x
    x = 21,433.90/166.81
  6. Step 6: Final answer
    x = 128.50

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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.