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Finding the Fourth Proportional to 146.65, 220.03 and 108.32

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Solution

The fourth proportional to 146.65, 220.03 and 108.32 is: 162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.65 : 220.03 = 108.32 : x
  2. Step 2: Convert to fraction form
    146.65/220.03 = 108.32/x
  3. Step 3: Cross multiply
    146.65x = 220.03 × 108.32
  4. Step 4: Simplify right side
    146.65x = 23,833.65
  5. Step 5: Solve for x
    x = 23,833.65/146.65
  6. Step 6: Final answer
    x = 162.53

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