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Finding the Fourth Proportional to 131.76, 197.41 and 66.69

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Solution

The fourth proportional to 131.76, 197.41 and 66.69 is: 99.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.76 : 197.41 = 66.69 : x
  2. Step 2: Convert to fraction form
    131.76/197.41 = 66.69/x
  3. Step 3: Cross multiply
    131.76x = 197.41 × 66.69
  4. Step 4: Simplify right side
    131.76x = 13,165.27
  5. Step 5: Solve for x
    x = 13,165.27/131.76
  6. Step 6: Final answer
    x = 99.92

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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.