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Finding the Fourth Proportional to 96.31, 132.93 and 59.00

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Solution

The fourth proportional to 96.31, 132.93 and 59.00 is: 81.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.31 : 132.93 = 59.00 : x
  2. Step 2: Convert to fraction form
    96.31/132.93 = 59.00/x
  3. Step 3: Cross multiply
    96.31x = 132.93 × 59.00
  4. Step 4: Simplify right side
    96.31x = 7,841.91
  5. Step 5: Solve for x
    x = 7,841.91/96.31
  6. Step 6: Final answer
    x = 81.43

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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.