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Finding the Fourth Proportional to 95.82, 132.23 and 52.16

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Solution

The fourth proportional to 95.82, 132.23 and 52.16 is: 71.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.82 : 132.23 = 52.16 : x
  2. Step 2: Convert to fraction form
    95.82/132.23 = 52.16/x
  3. Step 3: Cross multiply
    95.82x = 132.23 × 52.16
  4. Step 4: Simplify right side
    95.82x = 6,896.55
  5. Step 5: Solve for x
    x = 6,896.55/95.82
  6. Step 6: Final answer
    x = 71.97

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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.