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Finding the Fourth Proportional to 96.16, 132.68 and 54.70

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Solution

The fourth proportional to 96.16, 132.68 and 54.70 is: 75.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.16 : 132.68 = 54.70 : x
  2. Step 2: Convert to fraction form
    96.16/132.68 = 54.70/x
  3. Step 3: Cross multiply
    96.16x = 132.68 × 54.70
  4. Step 4: Simplify right side
    96.16x = 7,257.60
  5. Step 5: Solve for x
    x = 7,257.60/96.16
  6. Step 6: Final answer
    x = 75.47

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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.