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Finding the Fourth Proportional to 95.94, 132.32 and 83.64

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Solution

The fourth proportional to 95.94, 132.32 and 83.64 is: 115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.94 : 132.32 = 83.64 : x
  2. Step 2: Convert to fraction form
    95.94/132.32 = 83.64/x
  3. Step 3: Cross multiply
    95.94x = 132.32 × 83.64
  4. Step 4: Simplify right side
    95.94x = 11,066.58
  5. Step 5: Solve for x
    x = 11,066.58/95.94
  6. Step 6: Final answer
    x = 115.36

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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.