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Finding the Fourth Proportional to 96.16, 132.71 and 54.73

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Solution

The fourth proportional to 96.16, 132.71 and 54.73 is: 75.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.16 : 132.71 = 54.73 : x
  2. Step 2: Convert to fraction form
    96.16/132.71 = 54.73/x
  3. Step 3: Cross multiply
    96.16x = 132.71 × 54.73
  4. Step 4: Simplify right side
    96.16x = 7,263.22
  5. Step 5: Solve for x
    x = 7,263.22/96.16
  6. Step 6: Final answer
    x = 75.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.