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Finding the Fourth Proportional to 147.41, 203.42 and 81.90

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Solution

The fourth proportional to 147.41, 203.42 and 81.90 is: 113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.41 : 203.42 = 81.90 : x
  2. Step 2: Convert to fraction form
    147.41/203.42 = 81.90/x
  3. Step 3: Cross multiply
    147.41x = 203.42 × 81.90
  4. Step 4: Simplify right side
    147.41x = 16,659.69
  5. Step 5: Solve for x
    x = 16,659.69/147.41
  6. Step 6: Final answer
    x = 113.02

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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.