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Finding the Fourth Proportional to 131.02, 180.60 and 120.43

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Solution

The fourth proportional to 131.02, 180.60 and 120.43 is: 166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.02 : 180.60 = 120.43 : x
  2. Step 2: Convert to fraction form
    131.02/180.60 = 120.43/x
  3. Step 3: Cross multiply
    131.02x = 180.60 × 120.43
  4. Step 4: Simplify right side
    131.02x = 21,749.66
  5. Step 5: Solve for x
    x = 21,749.66/131.02
  6. Step 6: Final answer
    x = 166.00

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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.