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Finding the Fourth Proportional to 95.28, 131.52 and 91.84

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Solution

The fourth proportional to 95.28, 131.52 and 91.84 is: 126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.28 : 131.52 = 91.84 : x
  2. Step 2: Convert to fraction form
    95.28/131.52 = 91.84/x
  3. Step 3: Cross multiply
    95.28x = 131.52 × 91.84
  4. Step 4: Simplify right side
    95.28x = 12,078.80
  5. Step 5: Solve for x
    x = 12,078.80/95.28
  6. Step 6: Final answer
    x = 126.77

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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.