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Finding the Fourth Proportional to 146.33, 201.91 and 86.49

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Solution

The fourth proportional to 146.33, 201.91 and 86.49 is: 119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.33 : 201.91 = 86.49 : x
  2. Step 2: Convert to fraction form
    146.33/201.91 = 86.49/x
  3. Step 3: Cross multiply
    146.33x = 201.91 × 86.49
  4. Step 4: Simplify right side
    146.33x = 17,463.20
  5. Step 5: Solve for x
    x = 17,463.20/146.33
  6. Step 6: Final answer
    x = 119.34

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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.