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Finding the Fourth Proportional to 166.02, 229.16 and 116.76

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Solution

The fourth proportional to 166.02, 229.16 and 116.76 is: 161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.02 : 229.16 = 116.76 : x
  2. Step 2: Convert to fraction form
    166.02/229.16 = 116.76/x
  3. Step 3: Cross multiply
    166.02x = 229.16 × 116.76
  4. Step 4: Simplify right side
    166.02x = 26,756.72
  5. Step 5: Solve for x
    x = 26,756.72/166.02
  6. Step 6: Final answer
    x = 161.17

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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.