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Finding the Fourth Proportional to 96.31, 132.92 and 59.47

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Solution

The fourth proportional to 96.31, 132.92 and 59.47 is: 82.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.31 : 132.92 = 59.47 : x
  2. Step 2: Convert to fraction form
    96.31/132.92 = 59.47/x
  3. Step 3: Cross multiply
    96.31x = 132.92 × 59.47
  4. Step 4: Simplify right side
    96.31x = 7,904.75
  5. Step 5: Solve for x
    x = 7,904.75/96.31
  6. Step 6: Final answer
    x = 82.08

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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.