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Finding the Fourth Proportional to 114.14, 170.76 and 96.82

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Solution

The fourth proportional to 114.14, 170.76 and 96.82 is: 144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.14 : 170.76 = 96.82 : x
  2. Step 2: Convert to fraction form
    114.14/170.76 = 96.82/x
  3. Step 3: Cross multiply
    114.14x = 170.76 × 96.82
  4. Step 4: Simplify right side
    114.14x = 16,532.98
  5. Step 5: Solve for x
    x = 16,532.98/114.14
  6. Step 6: Final answer
    x = 144.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.