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Finding the Fourth Proportional to 146.60, 220.08 and 108.08

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Solution

The fourth proportional to 146.60, 220.08 and 108.08 is: 162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.60 : 220.08 = 108.08 : x
  2. Step 2: Convert to fraction form
    146.60/220.08 = 108.08/x
  3. Step 3: Cross multiply
    146.60x = 220.08 × 108.08
  4. Step 4: Simplify right side
    146.60x = 23,786.25
  5. Step 5: Solve for x
    x = 23,786.25/146.60
  6. Step 6: Final answer
    x = 162.25

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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.