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Finding the Fourth Proportional to 109.96, 151.57 and 82.25

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Solution

The fourth proportional to 109.96, 151.57 and 82.25 is: 113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.96 : 151.57 = 82.25 : x
  2. Step 2: Convert to fraction form
    109.96/151.57 = 82.25/x
  3. Step 3: Cross multiply
    109.96x = 151.57 × 82.25
  4. Step 4: Simplify right side
    109.96x = 12,466.55
  5. Step 5: Solve for x
    x = 12,466.55/109.96
  6. Step 6: Final answer
    x = 113.38

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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.