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Finding the Fourth Proportional to 96.75, 132.72 and 95.93

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Solution

The fourth proportional to 96.75, 132.72 and 95.93 is: 131.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.75 : 132.72 = 95.93 : x
  2. Step 2: Convert to fraction form
    96.75/132.72 = 95.93/x
  3. Step 3: Cross multiply
    96.75x = 132.72 × 95.93
  4. Step 4: Simplify right side
    96.75x = 12,731.83
  5. Step 5: Solve for x
    x = 12,731.83/96.75
  6. Step 6: Final answer
    x = 131.60

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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.