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Finding the Fourth Proportional to 146.70, 220.14 and 110.88

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Solution

The fourth proportional to 146.70, 220.14 and 110.88 is: 166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.70 : 220.14 = 110.88 : x
  2. Step 2: Convert to fraction form
    146.70/220.14 = 110.88/x
  3. Step 3: Cross multiply
    146.70x = 220.14 × 110.88
  4. Step 4: Simplify right side
    146.70x = 24,409.12
  5. Step 5: Solve for x
    x = 24,409.12/146.70
  6. Step 6: Final answer
    x = 166.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.