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Finding the Fourth Proportional to 131.40, 196.96 and 54.32

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Solution

The fourth proportional to 131.40, 196.96 and 54.32 is: 81.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.40 : 196.96 = 54.32 : x
  2. Step 2: Convert to fraction form
    131.40/196.96 = 54.32/x
  3. Step 3: Cross multiply
    131.40x = 196.96 × 54.32
  4. Step 4: Simplify right side
    131.40x = 10,698.87
  5. Step 5: Solve for x
    x = 10,698.87/131.40
  6. Step 6: Final answer
    x = 81.42

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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.