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Finding the Fourth Proportional to 96.18, 132.75 and 54.75

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Solution

The fourth proportional to 96.18, 132.75 and 54.75 is: 75.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.18 : 132.75 = 54.75 : x
  2. Step 2: Convert to fraction form
    96.18/132.75 = 54.75/x
  3. Step 3: Cross multiply
    96.18x = 132.75 × 54.75
  4. Step 4: Simplify right side
    96.18x = 7,268.06
  5. Step 5: Solve for x
    x = 7,268.06/96.18
  6. Step 6: Final answer
    x = 75.57

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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.