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Finding the Fourth Proportional to 83.44, 114.96 and 69.64

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Solution

The fourth proportional to 83.44, 114.96 and 69.64 is: 95.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.44 : 114.96 = 69.64 : x
  2. Step 2: Convert to fraction form
    83.44/114.96 = 69.64/x
  3. Step 3: Cross multiply
    83.44x = 114.96 × 69.64
  4. Step 4: Simplify right side
    83.44x = 8,005.81
  5. Step 5: Solve for x
    x = 8,005.81/83.44
  6. Step 6: Final answer
    x = 95.95

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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.