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Finding the Fourth Proportional to 131.63, 197.50 and 73.88

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Solution

The fourth proportional to 131.63, 197.50 and 73.88 is: 110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.63 : 197.50 = 73.88 : x
  2. Step 2: Convert to fraction form
    131.63/197.50 = 73.88/x
  3. Step 3: Cross multiply
    131.63x = 197.50 × 73.88
  4. Step 4: Simplify right side
    131.63x = 14,591.30
  5. Step 5: Solve for x
    x = 14,591.30/131.63
  6. Step 6: Final answer
    x = 110.85

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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.