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Finding the Fourth Proportional to 131.25, 196.88 and 76.41

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Solution

The fourth proportional to 131.25, 196.88 and 76.41 is: 114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.25 : 196.88 = 76.41 : x
  2. Step 2: Convert to fraction form
    131.25/196.88 = 76.41/x
  3. Step 3: Cross multiply
    131.25x = 196.88 × 76.41
  4. Step 4: Simplify right side
    131.25x = 15,043.22
  5. Step 5: Solve for x
    x = 15,043.22/131.25
  6. Step 6: Final answer
    x = 114.62

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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.