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Finding the Fourth Proportional to 131.02, 196.37 and 53.95

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Solution

The fourth proportional to 131.02, 196.37 and 53.95 is: 80.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.02 : 196.37 = 53.95 : x
  2. Step 2: Convert to fraction form
    131.02/196.37 = 53.95/x
  3. Step 3: Cross multiply
    131.02x = 196.37 × 53.95
  4. Step 4: Simplify right side
    131.02x = 10,593.18
  5. Step 5: Solve for x
    x = 10,593.18/131.02
  6. Step 6: Final answer
    x = 80.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.