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Finding the Fourth Proportional to 132.36, 182.47 and 96.88

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Solution

The fourth proportional to 132.36, 182.47 and 96.88 is: 133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.36 : 182.47 = 96.88 : x
  2. Step 2: Convert to fraction form
    132.36/182.47 = 96.88/x
  3. Step 3: Cross multiply
    132.36x = 182.47 × 96.88
  4. Step 4: Simplify right side
    132.36x = 17,677.69
  5. Step 5: Solve for x
    x = 17,677.69/132.36
  6. Step 6: Final answer
    x = 133.56

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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.