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Finding the Fourth Proportional to 146.33, 201.87 and 84.14

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Solution

The fourth proportional to 146.33, 201.87 and 84.14 is: 116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.33 : 201.87 = 84.14 : x
  2. Step 2: Convert to fraction form
    146.33/201.87 = 84.14/x
  3. Step 3: Cross multiply
    146.33x = 201.87 × 84.14
  4. Step 4: Simplify right side
    146.33x = 16,985.34
  5. Step 5: Solve for x
    x = 16,985.34/146.33
  6. Step 6: Final answer
    x = 116.08

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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.