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Finding the Fourth Proportional to 96.52, 132.47 and 85.92

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Solution

The fourth proportional to 96.52, 132.47 and 85.92 is: 117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.52 : 132.47 = 85.92 : x
  2. Step 2: Convert to fraction form
    96.52/132.47 = 85.92/x
  3. Step 3: Cross multiply
    96.52x = 132.47 × 85.92
  4. Step 4: Simplify right side
    96.52x = 11,381.82
  5. Step 5: Solve for x
    x = 11,381.82/96.52
  6. Step 6: Final answer
    x = 117.92

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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.