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Finding the Fourth Proportional to 95.75, 132.14 and 52.09

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Solution

The fourth proportional to 95.75, 132.14 and 52.09 is: 71.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.75 : 132.14 = 52.09 : x
  2. Step 2: Convert to fraction form
    95.75/132.14 = 52.09/x
  3. Step 3: Cross multiply
    95.75x = 132.14 × 52.09
  4. Step 4: Simplify right side
    95.75x = 6,883.12
  5. Step 5: Solve for x
    x = 6,883.12/95.75
  6. Step 6: Final answer
    x = 71.88

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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.