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Finding the Fourth Proportional to 95.36, 131.64 and 86.72

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Solution

The fourth proportional to 95.36, 131.64 and 86.72 is: 119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.36 : 131.64 = 86.72 : x
  2. Step 2: Convert to fraction form
    95.36/131.64 = 86.72/x
  3. Step 3: Cross multiply
    95.36x = 131.64 × 86.72
  4. Step 4: Simplify right side
    95.36x = 11,415.82
  5. Step 5: Solve for x
    x = 11,415.82/95.36
  6. Step 6: Final answer
    x = 119.71

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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.