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Finding the Fourth Proportional to 146.15, 201.57 and 87.92

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Solution

The fourth proportional to 146.15, 201.57 and 87.92 is: 121.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.15 : 201.57 = 87.92 : x
  2. Step 2: Convert to fraction form
    146.15/201.57 = 87.92/x
  3. Step 3: Cross multiply
    146.15x = 201.57 × 87.92
  4. Step 4: Simplify right side
    146.15x = 17,722.03
  5. Step 5: Solve for x
    x = 17,722.03/146.15
  6. Step 6: Final answer
    x = 121.26

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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.