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Finding the Fourth Proportional to 146.57, 202.26 and 91.31

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Solution

The fourth proportional to 146.57, 202.26 and 91.31 is: 126.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.57 : 202.26 = 91.31 : x
  2. Step 2: Convert to fraction form
    146.57/202.26 = 91.31/x
  3. Step 3: Cross multiply
    146.57x = 202.26 × 91.31
  4. Step 4: Simplify right side
    146.57x = 18,467.69
  5. Step 5: Solve for x
    x = 18,467.69/146.57
  6. Step 6: Final answer
    x = 126.00

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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.