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Finding the Fourth Proportional to 131.67, 180.50 and 129.56

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Solution

The fourth proportional to 131.67, 180.50 and 129.56 is: 177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.67 : 180.50 = 129.56 : x
  2. Step 2: Convert to fraction form
    131.67/180.50 = 129.56/x
  3. Step 3: Cross multiply
    131.67x = 180.50 × 129.56
  4. Step 4: Simplify right side
    131.67x = 23,384.03
  5. Step 5: Solve for x
    x = 23,384.03/131.67
  6. Step 6: Final answer
    x = 177.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.