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Finding the Fourth Proportional to 131.88, 196.83 and 113.58

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Solution

The fourth proportional to 131.88, 196.83 and 113.58 is: 169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.88 : 196.83 = 113.58 : x
  2. Step 2: Convert to fraction form
    131.88/196.83 = 113.58/x
  3. Step 3: Cross multiply
    131.88x = 196.83 × 113.58
  4. Step 4: Simplify right side
    131.88x = 22,355.95
  5. Step 5: Solve for x
    x = 22,355.95/131.88
  6. Step 6: Final answer
    x = 169.52

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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.