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Finding the Fourth Proportional to 146.21, 201.83 and 102.15

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Solution

The fourth proportional to 146.21, 201.83 and 102.15 is: 141.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.21 : 201.83 = 102.15 : x
  2. Step 2: Convert to fraction form
    146.21/201.83 = 102.15/x
  3. Step 3: Cross multiply
    146.21x = 201.83 × 102.15
  4. Step 4: Simplify right side
    146.21x = 20,616.42
  5. Step 5: Solve for x
    x = 20,616.42/146.21
  6. Step 6: Final answer
    x = 141.01

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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.