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Finding the Fourth Proportional to 96.10, 132.51 and 81.37

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Solution

The fourth proportional to 96.10, 132.51 and 81.37 is: 112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.10 : 132.51 = 81.37 : x
  2. Step 2: Convert to fraction form
    96.10/132.51 = 81.37/x
  3. Step 3: Cross multiply
    96.10x = 132.51 × 81.37
  4. Step 4: Simplify right side
    96.10x = 10,782.34
  5. Step 5: Solve for x
    x = 10,782.34/96.10
  6. Step 6: Final answer
    x = 112.20

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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.