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Finding the Fourth Proportional to 146.43, 201.95 and 99.83

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Solution

The fourth proportional to 146.43, 201.95 and 99.83 is: 137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.43 : 201.95 = 99.83 : x
  2. Step 2: Convert to fraction form
    146.43/201.95 = 99.83/x
  3. Step 3: Cross multiply
    146.43x = 201.95 × 99.83
  4. Step 4: Simplify right side
    146.43x = 20,160.42
  5. Step 5: Solve for x
    x = 20,160.42/146.43
  6. Step 6: Final answer
    x = 137.68

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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.