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Finding the Fourth Proportional to 166.05, 229.16 and 99.68

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Solution

The fourth proportional to 166.05, 229.16 and 99.68 is: 137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.05 : 229.16 = 99.68 : x
  2. Step 2: Convert to fraction form
    166.05/229.16 = 99.68/x
  3. Step 3: Cross multiply
    166.05x = 229.16 × 99.68
  4. Step 4: Simplify right side
    166.05x = 22,841.02
  5. Step 5: Solve for x
    x = 22,841.02/166.05
  6. Step 6: Final answer
    x = 137.56

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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.