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Finding the Fourth Proportional to 96.52, 132.31 and 95.23

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Solution

The fourth proportional to 96.52, 132.31 and 95.23 is: 130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.52 : 132.31 = 95.23 : x
  2. Step 2: Convert to fraction form
    96.52/132.31 = 95.23/x
  3. Step 3: Cross multiply
    96.52x = 132.31 × 95.23
  4. Step 4: Simplify right side
    96.52x = 12,599.24
  5. Step 5: Solve for x
    x = 12,599.24/96.52
  6. Step 6: Final answer
    x = 130.53

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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.