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Finding the Fourth Proportional to 131.28, 180.78 and 120.48

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Solution

The fourth proportional to 131.28, 180.78 and 120.48 is: 165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.28 : 180.78 = 120.48 : x
  2. Step 2: Convert to fraction form
    131.28/180.78 = 120.48/x
  3. Step 3: Cross multiply
    131.28x = 180.78 × 120.48
  4. Step 4: Simplify right side
    131.28x = 21,780.37
  5. Step 5: Solve for x
    x = 21,780.37/131.28
  6. Step 6: Final answer
    x = 165.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.