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Finding the Fourth Proportional to 132.27, 182.54 and 77.02

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Solution

The fourth proportional to 132.27, 182.54 and 77.02 is: 106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.27 : 182.54 = 77.02 : x
  2. Step 2: Convert to fraction form
    132.27/182.54 = 77.02/x
  3. Step 3: Cross multiply
    132.27x = 182.54 × 77.02
  4. Step 4: Simplify right side
    132.27x = 14,059.23
  5. Step 5: Solve for x
    x = 14,059.23/132.27
  6. Step 6: Final answer
    x = 106.29

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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.