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Finding the Fourth Proportional to 131.17, 180.99 and 75.89

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Solution

The fourth proportional to 131.17, 180.99 and 75.89 is: 104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.17 : 180.99 = 75.89 : x
  2. Step 2: Convert to fraction form
    131.17/180.99 = 75.89/x
  3. Step 3: Cross multiply
    131.17x = 180.99 × 75.89
  4. Step 4: Simplify right side
    131.17x = 13,734.62
  5. Step 5: Solve for x
    x = 13,734.62/131.17
  6. Step 6: Final answer
    x = 104.71

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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.