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Finding the Fourth Proportional to 146.09, 201.61 and 87.12

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Solution

The fourth proportional to 146.09, 201.61 and 87.12 is: 120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.09 : 201.61 = 87.12 : x
  2. Step 2: Convert to fraction form
    146.09/201.61 = 87.12/x
  3. Step 3: Cross multiply
    146.09x = 201.61 × 87.12
  4. Step 4: Simplify right side
    146.09x = 17,564.05
  5. Step 5: Solve for x
    x = 17,564.05/146.09
  6. Step 6: Final answer
    x = 120.23

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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.