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Finding the Fourth Proportional to 146.57, 202.24 and 84.38

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Solution

The fourth proportional to 146.57, 202.24 and 84.38 is: 116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.57 : 202.24 = 84.38 : x
  2. Step 2: Convert to fraction form
    146.57/202.24 = 84.38/x
  3. Step 3: Cross multiply
    146.57x = 202.24 × 84.38
  4. Step 4: Simplify right side
    146.57x = 17,064.11
  5. Step 5: Solve for x
    x = 17,064.11/146.57
  6. Step 6: Final answer
    x = 116.43

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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.