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Finding the Fourth Proportional to 120.66, 166.52 and 68.91

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Solution

The fourth proportional to 120.66, 166.52 and 68.91 is: 95.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.66 : 166.52 = 68.91 : x
  2. Step 2: Convert to fraction form
    120.66/166.52 = 68.91/x
  3. Step 3: Cross multiply
    120.66x = 166.52 × 68.91
  4. Step 4: Simplify right side
    120.66x = 11,474.55
  5. Step 5: Solve for x
    x = 11,474.55/120.66
  6. Step 6: Final answer
    x = 95.10

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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.