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Finding the Fourth Proportional to 96.02, 132.48 and 54.56

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Solution

The fourth proportional to 96.02, 132.48 and 54.56 is: 75.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.02 : 132.48 = 54.56 : x
  2. Step 2: Convert to fraction form
    96.02/132.48 = 54.56/x
  3. Step 3: Cross multiply
    96.02x = 132.48 × 54.56
  4. Step 4: Simplify right side
    96.02x = 7,227.69
  5. Step 5: Solve for x
    x = 7,227.69/96.02
  6. Step 6: Final answer
    x = 75.27

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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.