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Finding the Fourth Proportional to 131.24, 197.04 and 83.36

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Solution

The fourth proportional to 131.24, 197.04 and 83.36 is: 125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.24 : 197.04 = 83.36 : x
  2. Step 2: Convert to fraction form
    131.24/197.04 = 83.36/x
  3. Step 3: Cross multiply
    131.24x = 197.04 × 83.36
  4. Step 4: Simplify right side
    131.24x = 16,425.25
  5. Step 5: Solve for x
    x = 16,425.25/131.24
  6. Step 6: Final answer
    x = 125.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.