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Finding the Fourth Proportional to 146.05, 201.49 and 99.47

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Solution

The fourth proportional to 146.05, 201.49 and 99.47 is: 137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.05 : 201.49 = 99.47 : x
  2. Step 2: Convert to fraction form
    146.05/201.49 = 99.47/x
  3. Step 3: Cross multiply
    146.05x = 201.49 × 99.47
  4. Step 4: Simplify right side
    146.05x = 20,042.21
  5. Step 5: Solve for x
    x = 20,042.21/146.05
  6. Step 6: Final answer
    x = 137.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.