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Finding the Fourth Proportional to 146.57, 202.31 and 94.13

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Solution

The fourth proportional to 146.57, 202.31 and 94.13 is: 129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.57 : 202.31 = 94.13 : x
  2. Step 2: Convert to fraction form
    146.57/202.31 = 94.13/x
  3. Step 3: Cross multiply
    146.57x = 202.31 × 94.13
  4. Step 4: Simplify right side
    146.57x = 19,042.97
  5. Step 5: Solve for x
    x = 19,042.97/146.57
  6. Step 6: Final answer
    x = 129.93

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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.