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Finding the Fourth Proportional to 132.77, 182.16 and 128.68

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Solution

The fourth proportional to 132.77, 182.16 and 128.68 is: 176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.77 : 182.16 = 128.68 : x
  2. Step 2: Convert to fraction form
    132.77/182.16 = 128.68/x
  3. Step 3: Cross multiply
    132.77x = 182.16 × 128.68
  4. Step 4: Simplify right side
    132.77x = 23,439.89
  5. Step 5: Solve for x
    x = 23,439.89/132.77
  6. Step 6: Final answer
    x = 176.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.