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Finding the Fourth Proportional to 95.72, 132.05 and 84.75

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Solution

The fourth proportional to 95.72, 132.05 and 84.75 is: 116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.72 : 132.05 = 84.75 : x
  2. Step 2: Convert to fraction form
    95.72/132.05 = 84.75/x
  3. Step 3: Cross multiply
    95.72x = 132.05 × 84.75
  4. Step 4: Simplify right side
    95.72x = 11,190.81
  5. Step 5: Solve for x
    x = 11,190.81/95.72
  6. Step 6: Final answer
    x = 116.92

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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.