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Finding the Fourth Proportional to 131.31, 180.80 and 111.60

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Solution

The fourth proportional to 131.31, 180.80 and 111.60 is: 153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.31 : 180.80 = 111.60 : x
  2. Step 2: Convert to fraction form
    131.31/180.80 = 111.60/x
  3. Step 3: Cross multiply
    131.31x = 180.80 × 111.60
  4. Step 4: Simplify right side
    131.31x = 20,176.72
  5. Step 5: Solve for x
    x = 20,176.72/131.31
  6. Step 6: Final answer
    x = 153.66

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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.