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Finding the Fourth Proportional to 132.85, 183.43 and 86.25

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Solution

The fourth proportional to 132.85, 183.43 and 86.25 is: 119.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.85 : 183.43 = 86.25 : x
  2. Step 2: Convert to fraction form
    132.85/183.43 = 86.25/x
  3. Step 3: Cross multiply
    132.85x = 183.43 × 86.25
  4. Step 4: Simplify right side
    132.85x = 15,820.84
  5. Step 5: Solve for x
    x = 15,820.84/132.85
  6. Step 6: Final answer
    x = 119.09

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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.