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Finding the Fourth Proportional to 131.18, 180.94 and 81.33

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Solution

The fourth proportional to 131.18, 180.94 and 81.33 is: 112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.18 : 180.94 = 81.33 : x
  2. Step 2: Convert to fraction form
    131.18/180.94 = 81.33/x
  3. Step 3: Cross multiply
    131.18x = 180.94 × 81.33
  4. Step 4: Simplify right side
    131.18x = 14,715.46
  5. Step 5: Solve for x
    x = 14,715.46/131.18
  6. Step 6: Final answer
    x = 112.17

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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.