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Finding the Fourth Proportional to 131.36, 196.96 and 54.24

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Solution

The fourth proportional to 131.36, 196.96 and 54.24 is: 81.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.36 : 196.96 = 54.24 : x
  2. Step 2: Convert to fraction form
    131.36/196.96 = 54.24/x
  3. Step 3: Cross multiply
    131.36x = 196.96 × 54.24
  4. Step 4: Simplify right side
    131.36x = 10,683.11
  5. Step 5: Solve for x
    x = 10,683.11/131.36
  6. Step 6: Final answer
    x = 81.33

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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.