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Finding the Fourth Proportional to 132.80, 183.20 and 76.78

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Solution

The fourth proportional to 132.80, 183.20 and 76.78 is: 105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.80 : 183.20 = 76.78 : x
  2. Step 2: Convert to fraction form
    132.80/183.20 = 76.78/x
  3. Step 3: Cross multiply
    132.80x = 183.20 × 76.78
  4. Step 4: Simplify right side
    132.80x = 14,066.10
  5. Step 5: Solve for x
    x = 14,066.10/132.80
  6. Step 6: Final answer
    x = 105.92

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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.