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Finding the Fourth Proportional to 132.84, 183 and 103.68

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Solution

The fourth proportional to 132.84, 183 and 103.68 is: 142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.84 : 183 = 103.68 : x
  2. Step 2: Convert to fraction form
    132.84/183 = 103.68/x
  3. Step 3: Cross multiply
    132.84x = 183 × 103.68
  4. Step 4: Simplify right side
    132.84x = 18,973.44
  5. Step 5: Solve for x
    x = 18,973.44/132.84
  6. Step 6: Final answer
    x = 142.83

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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.