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Finding the Fourth Proportional to 146.42, 220.46 and 110.66

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Solution

The fourth proportional to 146.42, 220.46 and 110.66 is: 166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.42 : 220.46 = 110.66 : x
  2. Step 2: Convert to fraction form
    146.42/220.46 = 110.66/x
  3. Step 3: Cross multiply
    146.42x = 220.46 × 110.66
  4. Step 4: Simplify right side
    146.42x = 24,396.10
  5. Step 5: Solve for x
    x = 24,396.10/146.42
  6. Step 6: Final answer
    x = 166.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.