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Finding the Fourth Proportional to 131.60, 197.12 and 73.71

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Solution

The fourth proportional to 131.60, 197.12 and 73.71 is: 110.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.60 : 197.12 = 73.71 : x
  2. Step 2: Convert to fraction form
    131.60/197.12 = 73.71/x
  3. Step 3: Cross multiply
    131.60x = 197.12 × 73.71
  4. Step 4: Simplify right side
    131.60x = 14,529.35
  5. Step 5: Solve for x
    x = 14,529.35/131.60
  6. Step 6: Final answer
    x = 110.41

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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.