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Finding the Fourth Proportional to 96.74, 132.59 and 95.48

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Solution

The fourth proportional to 96.74, 132.59 and 95.48 is: 130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.74 : 132.59 = 95.48 : x
  2. Step 2: Convert to fraction form
    96.74/132.59 = 95.48/x
  3. Step 3: Cross multiply
    96.74x = 132.59 × 95.48
  4. Step 4: Simplify right side
    96.74x = 12,659.23
  5. Step 5: Solve for x
    x = 12,659.23/96.74
  6. Step 6: Final answer
    x = 130.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.