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Finding the Fourth Proportional to 131.09, 180.88 and 72.87

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Solution

The fourth proportional to 131.09, 180.88 and 72.87 is: 100.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.09 : 180.88 = 72.87 : x
  2. Step 2: Convert to fraction form
    131.09/180.88 = 72.87/x
  3. Step 3: Cross multiply
    131.09x = 180.88 × 72.87
  4. Step 4: Simplify right side
    131.09x = 13,180.73
  5. Step 5: Solve for x
    x = 13,180.73/131.09
  6. Step 6: Final answer
    x = 100.55

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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.