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Finding the Fourth Proportional to 95.64, 132.12 and 84.66

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Solution

The fourth proportional to 95.64, 132.12 and 84.66 is: 116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.64 : 132.12 = 84.66 : x
  2. Step 2: Convert to fraction form
    95.64/132.12 = 84.66/x
  3. Step 3: Cross multiply
    95.64x = 132.12 × 84.66
  4. Step 4: Simplify right side
    95.64x = 11,185.28
  5. Step 5: Solve for x
    x = 11,185.28/95.64
  6. Step 6: Final answer
    x = 116.95

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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.