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Finding the Fourth Proportional to 146.22, 201.84 and 109.42

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Solution

The fourth proportional to 146.22, 201.84 and 109.42 is: 151.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.22 : 201.84 = 109.42 : x
  2. Step 2: Convert to fraction form
    146.22/201.84 = 109.42/x
  3. Step 3: Cross multiply
    146.22x = 201.84 × 109.42
  4. Step 4: Simplify right side
    146.22x = 22,085.33
  5. Step 5: Solve for x
    x = 22,085.33/146.22
  6. Step 6: Final answer
    x = 151.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.