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Finding the Fourth Proportional to 146.73, 202.34 and 91.45

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Solution

The fourth proportional to 146.73, 202.34 and 91.45 is: 126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.73 : 202.34 = 91.45 : x
  2. Step 2: Convert to fraction form
    146.73/202.34 = 91.45/x
  3. Step 3: Cross multiply
    146.73x = 202.34 × 91.45
  4. Step 4: Simplify right side
    146.73x = 18,503.99
  5. Step 5: Solve for x
    x = 18,503.99/146.73
  6. Step 6: Final answer
    x = 126.11

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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.