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Finding the Fourth Proportional to 95.12, 131.04 and 77.84

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Solution

The fourth proportional to 95.12, 131.04 and 77.84 is: 107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.12 : 131.04 = 77.84 : x
  2. Step 2: Convert to fraction form
    95.12/131.04 = 77.84/x
  3. Step 3: Cross multiply
    95.12x = 131.04 × 77.84
  4. Step 4: Simplify right side
    95.12x = 10,200.15
  5. Step 5: Solve for x
    x = 10,200.15/95.12
  6. Step 6: Final answer
    x = 107.23

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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.