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Finding the Fourth Proportional to 131.70, 196.53 and 116.31

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Solution

The fourth proportional to 131.70, 196.53 and 116.31 is: 173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.70 : 196.53 = 116.31 : x
  2. Step 2: Convert to fraction form
    131.70/196.53 = 116.31/x
  3. Step 3: Cross multiply
    131.70x = 196.53 × 116.31
  4. Step 4: Simplify right side
    131.70x = 22,858.40
  5. Step 5: Solve for x
    x = 22,858.40/131.70
  6. Step 6: Final answer
    x = 173.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.