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Finding the Fourth Proportional to 146.57, 201.96 and 99.95

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Solution

The fourth proportional to 146.57, 201.96 and 99.95 is: 137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.57 : 201.96 = 99.95 : x
  2. Step 2: Convert to fraction form
    146.57/201.96 = 99.95/x
  3. Step 3: Cross multiply
    146.57x = 201.96 × 99.95
  4. Step 4: Simplify right side
    146.57x = 20,185.90
  5. Step 5: Solve for x
    x = 20,185.90/146.57
  6. Step 6: Final answer
    x = 137.72

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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.